Q: What are the prime factors of the number 15,250,336?

 A: 2, 181, 2633

Why are those the prime factors of the number 15,250,336?

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 15,250,336

15,250,336
Factor Arrows
27,625,168
Factor Arrows
23,812,584
Factor Arrows
21,906,292
Factor Arrows
2953,146
Factor Arrows
2476,573
Factor Arrows
1812,633

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, 181, 2633

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 181 x 2,633 = 15,250,336

This can also be written as 25 x 1811 x 2,6331 = 15,250,336

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


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