Q: What are the prime factors of the number 20,154,771?

 A: 3, 7, 13, 631

Why are those the prime factors of the number 20,154,771?

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 20,154,771

20,154,771
Factor Arrows
36,718,257
Factor Arrows
32,239,419
Factor Arrows
3746,473
Factor Arrows
7106,639
Factor Arrows
138,203
Factor Arrows
13631

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, 7, 13, 631

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 13 x 13 x 631 = 20,154,771

This can also be written as 33 x 71 x 132 x 6311 = 20,154,771

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


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