Q: What are the prime factors of the number 15,480,652?

 A: 2, 11, 37, 257

Why are those the prime factors of the number 15,480,652?

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 15,480,652

15,480,652
Factor Arrows
27,740,326
Factor Arrows
23,870,163
Factor Arrows
11351,833
Factor Arrows
379,509
Factor Arrows
37257

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, 11, 37, 257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 37 x 37 x 257 = 15,480,652

This can also be written as 22 x 111 x 372 x 2571 = 15,480,652

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


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