Q: What are the prime factors of the number 15,604,350?

 A: 2, 3, 5, 23, 4523

Why are those the prime factors of the number 15,604,350?

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 15,604,350

15,604,350
Factor Arrows
27,802,175
Factor Arrows
32,600,725
Factor Arrows
5520,145
Factor Arrows
5104,029
Factor Arrows
234,523

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, 5, 23, 4523

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 23 x 4,523 = 15,604,350

This can also be written as 21 x 31 x 52 x 231 x 4,5231 = 15,604,350

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


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