Q: What are the prime factors of the number 110,632,032?

 A: 2, 3, 7, 54877

Why are those the prime factors of the number 110,632,032?

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 110,632,032

110,632,032
Factor Arrows
255,316,016
Factor Arrows
227,658,008
Factor Arrows
213,829,004
Factor Arrows
26,914,502
Factor Arrows
23,457,251
Factor Arrows
31,152,417
Factor Arrows
3384,139
Factor Arrows
754,877

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, 3, 7, 54877

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 54,877 = 110,632,032

This can also be written as 25 x 32 x 71 x 54,8771 = 110,632,032

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


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