Q: What are the prime factors of the number 100,660,770?

 A: 2, 3, 5, 7, 159779

Why are those the prime factors of the number 100,660,770?

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 100,660,770

100,660,770
Factor Arrows
250,330,385
Factor Arrows
316,776,795
Factor Arrows
35,592,265
Factor Arrows
51,118,453
Factor Arrows
7159,779

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, 7, 159779

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 7 x 159,779 = 100,660,770

This can also be written as 21 x 32 x 51 x 71 x 159,7791 = 100,660,770

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


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