Q: What are the prime factors of the number 100,020,339?

 A: 3, 1234819

Why are those the prime factors of the number 100,020,339?

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 100,020,339

100,020,339
Factor Arrows
333,340,113
Factor Arrows
311,113,371
Factor Arrows
33,704,457
Factor Arrows
31,234,819

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, 1234819

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 1,234,819 = 100,020,339

This can also be written as 34 x 1,234,8191 = 100,020,339

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


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