Q: What are the prime factors of the number 20,155,275?

 A: 3, 5, 7, 67, 191

Why are those the prime factors of the number 20,155,275?

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 20,155,275

20,155,275
Factor Arrows
36,718,425
Factor Arrows
32,239,475
Factor Arrows
5447,895
Factor Arrows
589,579
Factor Arrows
712,797
Factor Arrows
67191

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, 5, 7, 67, 191

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 7 x 67 x 191 = 20,155,275

This can also be written as 32 x 52 x 71 x 671 x 1911 = 20,155,275

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


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