Q: What are the prime factors of the number 18,264,032?

 A: 2, 101, 5651

Why are those the prime factors of the number 18,264,032?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 18,264,032

18,264,032
Factor Arrows
29,132,016
Factor Arrows
24,566,008
Factor Arrows
22,283,004
Factor Arrows
21,141,502
Factor Arrows
2570,751
Factor Arrows
1015,651

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 101, 5651

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 101 x 5,651 = 18,264,032

This can also be written as 25 x 1011 x 5,6511 = 18,264,032

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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