Q: What are the prime factors of the number 20,430,109?

 A: 7, 67, 127

Why are those the prime factors of the number 20,430,109?

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 20,430,109

20,430,109
Factor Arrows
72,918,587
Factor Arrows
7416,941
Factor Arrows
759,563
Factor Arrows
78,509
Factor Arrows
67127

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:

7, 67, 127

We can check our work by multiplying all of the prime factors together: 7 x 7 x 7 x 7 x 67 x 127 = 20,430,109

This can also be written as 74 x 671 x 1271 = 20,430,109

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


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