Q:

What are the factors of 32?

A:

Quick Answer

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.

 Know More

Full Answer

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.

Learn more about Numbers

Related Questions

  • Q:

    Which number has the most factors?

    A:

    The number with the most factors is infinite. The number with the most known factors contains all of the prime numbers, of which Euclid's theorem also suggests there is an infinite number.

    Full Answer >
    Filed Under:
  • Q:

    What are the factors of 99?

    A:

    The factors of 99 are 1, 3, 9, 11, 33 and 99. These are the numbers that when multiplied together give the result of 99. The following number pairs have a product of 99: 1 x 99, 3 x 33, and 9 x 11.

    Full Answer >
    Filed Under:
  • Q:

    What is the prime factorization of 72?

    A:

    The prime factorization of 72 is 23x 32, or 2 x 2 x 2 x 3 x 3. The prime factorization of a number involves determining the factors of a number that are also prime numbers and multiply together to equal the original number.

    Full Answer >
    Filed Under:
  • Q:

    What are the factors of 45?

    A:

    The factors of 45 are 1, 3, 9, 15 and 45. A factor is a number or algebraic expression that divides into another number or expression evenly with no remainder.

    Full Answer >
    Filed Under:

Explore