Q: What are the prime factors of the number 20,086,785?

 A: 3, 5, 49597

Why are those the prime factors of the number 20,086,785?

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 20,086,785

20,086,785
Factor Arrows
36,695,595
Factor Arrows
32,231,865
Factor Arrows
3743,955
Factor Arrows
3247,985
Factor Arrows
549,597

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, 5, 49597

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 49,597 = 20,086,785

This can also be written as 34 x 51 x 49,5971 = 20,086,785

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


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