Introduction to Factors, Divisors, and Integers
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Vocabulary flashcards covering factors, divisors, integers, and related examples from the video notes.
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925 Terms
Factor
A number that divides another number exactly; in multiplication, a factor is one of the numbers that multiply to give a product.
Divisor
A number that divides another number exactly with no remainder.
Quotient
The result obtained by dividing one number by another.
Integer
A whole number that can be positive, negative, or zero; includes -2, 0, 3, etc.
Whole number
A non-negative integer: 0, 1, 2, 3, …
Factors of five
The numbers that multiply to give 5: 1, 5, -1, -5.
Not a divisor
A number that does not divide the given number exactly (e.g., 2 is not a divisor of 5).
5 ÷ 10
The quotient is 0.5, which is not an integer; demonstrates a non-integer division.
Factor
A number that divides another number exactly; in multiplication, a factor is one of the numbers that multiply to give a product.
Divisor
A number that divides another number exactly with no remainder.
Quotient
The result obtained by dividing one number by another.
Integer
A whole number that can be positive, negative, or zero; includes -2, 0, 3, etc.
Whole number
A non-negative integer: 0, 1, 2, 3,
…
Factors of five
The numbers that multiply to give 5: 1, 5, -1, -5.
Not a divisor
A number that does not divide the given number exactly (e.g., 2 is not a divisor of 5).
5 ÷ 10
The quotient is 0.5, which is not an integer; demonstrates a non-integer division.
Product
The result obtained when two or more numbers are multiplied together.
Sum
The result obtained when two or more numbers are added together.
Difference
The result obtained when one number is subtracted from another.
Prime number
A whole number greater than 1 that has exactly two factors: 1 and itself (e.g., 2, 3, 5, 7, 11).
Composite number
A whole number greater than 1 that has more than two factors (e.g., 4, 6, 8, 9, 10).
Multiple
The result of multiplying a given number by an integer. For example, multiples of 3 are 3, 6, 9, 12, etc.
Even number
An integer that is divisible by 2 with no remainder (e.g., -4, 0, 2, 8).
Odd number
An integer that is not divisible by 2; it leaves a remainder of 1 when divided by 2 (e.g., -3, 1, 5, 9).
Remainder
The amount left over after a division when one number does not divide another exactly; it is always less than the divisor.
Numerator
The top number in a fraction, representing the number of parts of the whole.
Denominator
The bottom number in a fraction, representing the total number of equal parts into which the whole is divided.
Absolute value
The distance of a number from zero on the number line, always a non-negative value (e.g., | -3 | = 3 and | 3 | = 3).
Exponent
A number that indicates how many times the base number is multiplied by itself (e.g., in 2^3, 3 is the exponent).
Base (in exponents)
The number or variable that is multiplied by itself the number of times indicated by the exponent (e.g., in 2^3, 2 is the base).
Power
An expression that represents repeated multiplication of the same factor; it includes a base and an exponent (e.g., 2^3 is read as '2 to the power of 3').
Square root
A number that, when multiplied by itself, gives the original number (e.g., the square root of 9 is 3, because 3 \times 3 = 9). It is denoted by the symbol \sqrt{}.
Cube root
A number that, when multiplied by itself three times, gives the original number (e.g., the cube root of 8 is 2, because 2 \times 2 \times 2 = 8). It is denoted by \sqrt[3]{}.
Least Common Multiple (LCM)
The smallest positive integer that is a multiple of two or more given integers (e.g., the LCM of 4 and 6 is 12).
Greatest Common Divisor (GCD) / Greatest Common Factor (GCF)
The largest positive integer that divides each of the integers in a given set without leaving a remainder (e.g., the GCD of 12 and 18 is 6).
Factor
A number that divides another number exactly; in multiplication, a factor is one of the numbers that multiply to give a product.
Divisor
A number that divides another number exactly with no remainder.
Quotient
The result obtained by dividing one number by another.
Integer
A whole number that can be positive, negative, or zero; includes -2, 0, 3, etc.
Whole number
A non-negative integer: 0, 1, 2, 3, …
Factors of five
The numbers that multiply to give 5: 1, 5, -1, -5.
Not a divisor
A number that does not divide the given number exactly (e.g., 2 is not a divisor of 5).
5
10
The quotient is 0.5, which is not an integer; demonstrates a non-integer division.
Factor
A number that divides another number exactly; in multiplication, a factor is one of the numbers that multiply to give a product.
Divisor
A number that divides another number exactly with no remainder.
Quotient
The result obtained by dividing one number by another.
Integer
A whole number that can be positive, negative, or zero; includes -2, 0, 3, etc.
Whole number
A non-negative integer: 0, 1, 2, 3,
…
Factors of five
The numbers that multiply to give 5: 1, 5, -1, -5.
Not a divisor
A number that does not divide the given number exactly (e.g., 2 is not a divisor of 5).
5
10
The quotient is 0.5, which is not an integer; demonstrates a non-integer division.
Product
The result obtained when two or more numbers are multiplied together.
Sum
The result obtained when two or more numbers are added together.
Difference
The result obtained when one number is subtracted from another.
Prime number
A whole number greater than 1 that has exactly two factors: 1 and itself (e.g., 2, 3, 5, 7, 11).
Composite number
A whole number greater than 1 that has more than two factors (e.g., 4, 6, 8, 9, 10).
Multiple
The result of multiplying a given number by an integer. For example, multiples of 3 are 3, 6, 9, 12, etc.
Even number
An integer that is divisible by 2 with no remainder (e.g., -4, 0, 2, 8).
Odd number
An integer that is not divisible by 2; it leaves a remainder of 1 when divided by 2 (e.g., -3, 1, 5, 9).
Remainder
The amount left over after a division when one number does not divide another exactly; it is always less than the divisor.
Numerator
The top number in a fraction, representing the number of parts of the whole.
Denominator
The bottom number in a fraction, representing the total number of equal parts into which the whole is divided.
Absolute value
The distance of a number from zero on the number line, always a non-negative value (e.g., \ | -3 \| = 3 and \ | 3 \| = 3).
Exponent
A number that indicates how many times the base number is multiplied by itself (e.g., in 2^3, 3 is the exponent).
Base (in exponents)
The number or variable that is multiplied by itself the number of times indicated by the exponent (e.g., in 2^3, 2 is the base).
Power
An expression that represents repeated multiplication of the same factor; it includes a base and an exponent (e.g., 2^3 is read as '2 to the power of 3').
Square root
A number that, when multiplied by itself, gives the original number (e.g., the square root of 9 is 3, because 3 \times 3 = 9). It is denoted by the symbol \ \sqrt{}.
Cube root
A number that, when multiplied by itself three times, gives the original number (e.g., the cube root of 8 is 2, because 2 \times 2 \times 2 = 8). It is denoted by \ \sqrt[3]{}.
Least Common Multiple (LCM)
The smallest positive integer that is a multiple of two or more given integers (e.g., the LCM of 4 and 6 is 12).
Greatest Common Divisor (GCD) / Greatest Common Factor (GCF)
The largest positive integer that divides each of the integers in a given set without leaving a remainder (e.g., the GCD of 12 and 18 is 6).
Order of Operations
A set of rules that dictate the sequence in which mathematical operations should be performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Variable
A symbol, usually a letter, that represents an unknown or changeable value in a mathematical expression or equation.
Constant
A value that does not change; a fixed numerical value in an expression or equation (e.g., in 3x + 5, 5 is the constant).
Algebraic expression
A mathematical phrase that contains numbers, variables, and operation symbols, but no equals sign (e.g., 2x + 7).
Equation
A mathematical statement that shows two expressions are equal, connected by an equals sign (e.g., x + 5 = 10).
Inequality
A mathematical statement comparing two expressions that are not equal, using symbols like < (less than), > (greater than), \ \le (less than or equal to), or \ \ge (greater than or equal to).
Factor
A number that divides another number exactly; in multiplication, a factor is one of the numbers that multiply to give a product.
Divisor
A number that divides another number exactly with no remainder.
Quotient
The result obtained by dividing one number by another.
Integer
A whole number that can be positive, negative, or zero; includes -2, 0, 3, etc.
Whole number
A non-negative integer: 0, 1, 2, 3, …
Factors of five
The numbers that multiply to give 5: 1, 5, -1, -5.
Not a divisor
A number that does not divide the given number exactly (e.g., 2 is not a divisor of 5).
5
10
The quotient is 0.5, which is not an integer; demonstrates a non-integer division.
Product
The result obtained when two or more numbers are multiplied together.
Sum
The result obtained when two or more numbers are added together.
Difference
The result obtained when one number is subtracted from another.
Prime number
A whole number greater than 1 that has exactly two factors: 1 and itself (e.g., 2, 3, 5, 7, 11).
Composite number
A whole number greater than 1 that has more than two factors (e.g., 4, 6, 8, 9, 10).
Multiple
The result of multiplying a given number by an integer. For example, multiples of 3 are 3, 6, 9, 12, etc.
Even number
An integer that is divisible by 2 with no remainder (e.g., -4, 0, 2, 8).
Odd number
An integer that is not divisible by 2; it leaves a remainder of 1 when divided by 2 (e.g., -3, 1, 5, 9).
Remainder
The amount left over after a division when one number does not divide another exactly; it is always less than the divisor.
Numerator
The top number in a fraction, representing the number of parts of the whole.
Denominator
The bottom number in a fraction, representing the total number of equal parts into which the whole is divided.
Absolute value
The distance of a number from zero on the number line, always a non-negative value (e.g., \ | -3 | = 3 and \ | 3 | = 3).
Exponent
A number that indicates how many times the base number is multiplied by itself (e.g., in 2^3, 3 is the exponent).
Base (in exponents)
The number or variable that is multiplied by itself the number of times indicated by the exponent (e.g., in 2^3, 2 is the base).
Power
An expression that represents repeated multiplication of the same factor; it includes a base and an exponent (e.g., 2^3 is read as '2 to the power of 3').
Square root
A number that, when multiplied by itself, gives the original number (e.g., the square root of 9 is 3, because 3 \times 3 = 9). It is denoted by the symbol \ \sqrt{}.