Q: What are the prime factors of the number 20,043,153?

 A: 3, 13, 17, 3359

Why are those the prime factors of the number 20,043,153?

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 20,043,153

20,043,153
Factor Arrows
36,681,051
Factor Arrows
32,227,017
Factor Arrows
3742,339
Factor Arrows
1357,103
Factor Arrows
173,359

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, 13, 17, 3359

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 17 x 3,359 = 20,043,153

This can also be written as 33 x 131 x 171 x 3,3591 = 20,043,153

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


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