Q: What are the prime factors of the number 4,807,107?

 A: 3, 17, 3491

Why are those the prime factors of the number 4,807,107?

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 4,807,107

4,807,107
Factor Arrows
31,602,369
Factor Arrows
3534,123
Factor Arrows
3178,041
Factor Arrows
359,347
Factor Arrows
173,491

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, 17, 3491

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 17 x 3,491 = 4,807,107

This can also be written as 34 x 171 x 3,4911 = 4,807,107

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


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