Q: What are the prime factors of the number 15,581,888?

 A: 2, 7, 34781

Why are those the prime factors of the number 15,581,888?

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 15,581,888

15,581,888
Factor Arrows
27,790,944
Factor Arrows
23,895,472
Factor Arrows
21,947,736
Factor Arrows
2973,868
Factor Arrows
2486,934
Factor Arrows
2243,467
Factor Arrows
734,781

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, 7, 34781

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 7 x 34,781 = 15,581,888

This can also be written as 26 x 71 x 34,7811 = 15,581,888

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


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