Q: What are the prime factors of the number 101,055,789?

 A: 3, 53, 70619

Why are those the prime factors of the number 101,055,789?

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 101,055,789

101,055,789
Factor Arrows
333,685,263
Factor Arrows
311,228,421
Factor Arrows
33,742,807
Factor Arrows
5370,619

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, 70619

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 53 x 70,619 = 101,055,789

This can also be written as 33 x 531 x 70,6191 = 101,055,789

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


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