Q: What are the prime factors of the number 61,352,370?

 A: 2, 3, 5, 227231

Why are those the prime factors of the number 61,352,370?

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 61,352,370

61,352,370
Factor Arrows
230,676,185
Factor Arrows
310,225,395
Factor Arrows
33,408,465
Factor Arrows
31,136,155
Factor Arrows
5227,231

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, 3, 5, 227231

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 227,231 = 61,352,370

This can also be written as 21 x 33 x 51 x 227,2311 = 61,352,370

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


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