Q: What are the prime factors of the number 108,920,997?

 A: 3, 191, 21121

Why are those the prime factors of the number 108,920,997?

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 108,920,997

108,920,997
Factor Arrows
336,306,999
Factor Arrows
312,102,333
Factor Arrows
34,034,111
Factor Arrows
19121,121

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, 191, 21121

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 191 x 21,121 = 108,920,997

This can also be written as 33 x 1911 x 21,1211 = 108,920,997

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


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