Q: What are the prime factors of the number 61,503,656?

 A: 2, 23, 14533

Why are those the prime factors of the number 61,503,656?

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 61,503,656

61,503,656
Factor Arrows
230,751,828
Factor Arrows
215,375,914
Factor Arrows
27,687,957
Factor Arrows
23334,259
Factor Arrows
2314,533

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, 23, 14533

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 23 x 23 x 14,533 = 61,503,656

This can also be written as 23 x 232 x 14,5331 = 61,503,656

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


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