Q: What are the prime factors of the number 5,016,832?

 A: 2, 19597

Why are those the prime factors of the number 5,016,832?

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 5,016,832

5,016,832
Factor Arrows
22,508,416
Factor Arrows
21,254,208
Factor Arrows
2627,104
Factor Arrows
2313,552
Factor Arrows
2156,776
Factor Arrows
278,388
Factor Arrows
239,194
Factor Arrows
219,597

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, 19597

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 19,597 = 5,016,832

This can also be written as 28 x 19,5971 = 5,016,832

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


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