Q:

# What are the factors of 32?

A:

The factors of 32 are 1, 2, 4, 8, 16 and 32. Factoring in mathematics is the process of disassembling a number or expression into constituent parts that, when multiplied, result in the original. In this case, 32 can be reached by multiplying 4 with 8, 2 with 16, and 1 with 32.

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The most elementary method of factoring is to divide the original number sequentially by all whole numbers approaching it, including 1. All numbers, prime and composite, are divisible by 1 and themselves.

A person can determine the factors of 32 by making a list beginning with 1 and ending with 32 and attempting to divide 32 by the next whole number after 1, which is the number 2. The answer, 16, is another whole number. Therefore, 2 and 16 can be added to the list between 1 and 32. Dividing 32 by the number 3 reveals that the result is not a whole number, so that number and 3 should not be added to the list.

A person can continue this process step-by-step until the number 16 is reached again. Since there can never be a whole number factor between the original number and half the original number, there is no need to continue any further.

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