Q: What are the prime factors of the number 20,145,426?

 A: 2, 3, 7, 67, 7159

Why are those the prime factors of the number 20,145,426?

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 20,145,426

20,145,426
Factor Arrows
210,072,713
Factor Arrows
33,357,571
Factor Arrows
7479,653
Factor Arrows
677,159

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:

2, 3, 7, 67, 7159

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 67 x 7,159 = 20,145,426

This can also be written as 21 x 31 x 71 x 671 x 7,1591 = 20,145,426

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


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