Q: What are the prime factors of the number 20,350,785?

 A: 3, 5, 7, 13, 17, 877

Why are those the prime factors of the number 20,350,785?

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 20,350,785

20,350,785
Factor Arrows
36,783,595
Factor Arrows
51,356,719
Factor Arrows
7193,817
Factor Arrows
1314,909
Factor Arrows
17877

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, 7, 13, 17, 877

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 13 x 17 x 877 = 20,350,785

This can also be written as 31 x 51 x 71 x 131 x 171 x 8771 = 20,350,785

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


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