Q: What are the prime factors of the number 15,620,032?

 A: 2, 31, 7873

Why are those the prime factors of the number 15,620,032?

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 15,620,032

15,620,032
Factor Arrows
27,810,016
Factor Arrows
23,905,008
Factor Arrows
21,952,504
Factor Arrows
2976,252
Factor Arrows
2488,126
Factor Arrows
2244,063
Factor Arrows
317,873

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, 31, 7873

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 31 x 7,873 = 15,620,032

This can also be written as 26 x 311 x 7,8731 = 15,620,032

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


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