Q: What are the prime factors of the number 15,560,328?

 A: 2, 3, 7, 23, 4027

Why are those the prime factors of the number 15,560,328?

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 15,560,328

15,560,328
Factor Arrows
27,780,164
Factor Arrows
23,890,082
Factor Arrows
21,945,041
Factor Arrows
3648,347
Factor Arrows
792,621
Factor Arrows
234,027

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, 23, 4027

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 23 x 4,027 = 15,560,328

This can also be written as 23 x 31 x 71 x 231 x 4,0271 = 15,560,328

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


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