Number Theory Review

Front

What is prime factorization?

Back

The process of expressing a number as the product of its prime factors.

Front

What is the prime factorization of 540?

Back

2^2 × 3^3 × 5

Front

If x|12456, what can we conclude about x?

Back

x = 2 and 4, because it's an even number and the last two digits are divisible by 4.

Front

What is the sum of an even integer and an odd integer?

Back

Odd.

Front

What is the smallest value of n that can be used to make (540)n a perfect cube?

Back

50.

Front

If x|54363, what can we conclude about x?

Back

x = 3 because the sum of the digits is divisible by 3.

Front

What is a perfect cube?

Back

A number that can be expressed as the cube of an integer.

Front

What is the divisibility rule for 3?

Back

A number is divisible by 3 if the sum of its digits is divisible by 3.

Front

What is the divisibility rule for 4?

Back

A number is divisible by 4 if the last two digits form a number that is divisible by 4.

Front

What is the difference between even and odd integers?

Back

Even integers are divisible by 2, while odd integers are not.