Q: What are the prime factors of the number 130,700,646?

 A: 2, 3, 331, 21937

Why are those the prime factors of the number 130,700,646?

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 130,700,646

130,700,646
Factor Arrows
265,350,323
Factor Arrows
321,783,441
Factor Arrows
37,261,147
Factor Arrows
33121,937

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, 331, 21937

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 331 x 21,937 = 130,700,646

This can also be written as 21 x 32 x 3311 x 21,9371 = 130,700,646

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


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