Unit 1: Number Theory

Question 1

fundamental theorem of arithmetic

Answer 1

Every integer greater than 1 is either prime, or is the product of a unique set of prime numbers.

Question 2

prime factorization

Answer 2

Determining the set of prime numbers whose product is the original integer.

Question 3

greatest common factor (GCF)

Answer 3

For two or more whole numbers, this is the greatest number that divides evenly into all the numbers.

Question 4

least common multiple (LCM)

Answer 4

The smallest number in value that is a multiple of two or more numbers.

Question 5

whole number

Answer 5

A number whose value is 0 or greater (negative numbers are not considered whole numbers) and can be represented without a fractional or a decimal component

Question 6

integer

Answer 6

A number (positive, negative, or zero) that can be represented without a fractional or a decimal component.

Question 7

factor

Answer 7

A number that divides evenly into another number.

Question 8

real number

Answer 8

Any number on the number line. These include zero, negative and positive integers, rational numbers, and even numbers that are not rational, such as Pi.

Question 9

rational number

Answer 9

Any number that can be represented as a fraction of two integers. Equivalently, any number which has a decimal that either terminates or repeats.