Q: What are the prime factors of the number 15,767,553?

 A: 3, 53, 131, 757

Why are those the prime factors of the number 15,767,553?

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 15,767,553

15,767,553
Factor Arrows
35,255,851
Factor Arrows
5399,167
Factor Arrows
131757

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:

3, 53, 131, 757

We can check our work by multiplying all of the prime factors together: 3 x 53 x 131 x 757 = 15,767,553

This can also be written as 31 x 531 x 1311 x 7571 = 15,767,553

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


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