Q: What are the prime factors of the number 20,103,129?

 A: 3, 17, 59, 131

Why are those the prime factors of the number 20,103,129?

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 20,103,129

20,103,129
Factor Arrows
36,701,043
Factor Arrows
32,233,681
Factor Arrows
17131,393
Factor Arrows
177,729
Factor Arrows
59131

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, 59, 131

We can check our work by multiplying all of the prime factors together: 3 x 3 x 17 x 17 x 59 x 131 = 20,103,129

This can also be written as 32 x 172 x 591 x 1311 = 20,103,129

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


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