Q: What are the prime factors of the number 32,987,392?

 A: 2, 128857

Why are those the prime factors of the number 32,987,392?

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 32,987,392

32,987,392
Factor Arrows
216,493,696
Factor Arrows
28,246,848
Factor Arrows
24,123,424
Factor Arrows
22,061,712
Factor Arrows
21,030,856
Factor Arrows
2515,428
Factor Arrows
2257,714
Factor Arrows
2128,857

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, 128857

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 128,857 = 32,987,392

This can also be written as 28 x 128,8571 = 32,987,392

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


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