Q: What are the prime factors of the number 20,323,302?

 A: 2, 3, 127, 149, 179

Why are those the prime factors of the number 20,323,302?

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 20,323,302

20,323,302
Factor Arrows
210,161,651
Factor Arrows
33,387,217
Factor Arrows
12726,671
Factor Arrows
149179

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, 127, 149, 179

We can check our work by multiplying all of the prime factors together: 2 x 3 x 127 x 149 x 179 = 20,323,302

This can also be written as 21 x 31 x 1271 x 1491 x 1791 = 20,323,302

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


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