Q: What are the prime factors of the number 61,765,068?

 A: 2, 3, 109, 47221

Why are those the prime factors of the number 61,765,068?

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 61,765,068

61,765,068
Factor Arrows
230,882,534
Factor Arrows
215,441,267
Factor Arrows
35,147,089
Factor Arrows
10947,221

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, 109, 47221

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 109 x 47,221 = 61,765,068

This can also be written as 22 x 31 x 1091 x 47,2211 = 61,765,068

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


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