Q:

# What are the factors of 72?

A:

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72. Factors are the numbers that can be multiplied together to get 72.

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First, all numbers are divisible by themselves and 1. If a number is even, one of the factors is 2, and another is whatever 2 needs to multiply with to get the number. Then, If the sum of the digits (in this case, 7 + 2 = 9) is divisible by 3, one of the factors is 3, and another is whatever 3 needs to be multiplied by to get the number.

After that, try dividing by four. If the product is a whole number, then 4 is one of the factors along with whatever 4 needs to multiply with to get the number. The same process can be followed with the rest of the numbers 5 through 10. If the answer is a whole number, two factors have been identified.

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