Q: What are the prime factors of the number 121,068,380?

 A: 2, 5, 19, 318601

Why are those the prime factors of the number 121,068,380?

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 121,068,380

121,068,380
Factor Arrows
260,534,190
Factor Arrows
230,267,095
Factor Arrows
56,053,419
Factor Arrows
19318,601

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, 5, 19, 318601

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 19 x 318,601 = 121,068,380

This can also be written as 22 x 51 x 191 x 318,6011 = 121,068,380

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


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