Q: What are the prime factors of the number 28,623,686?

 A: 2, 7, 13, 157273

Why are those the prime factors of the number 28,623,686?

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 28,623,686

28,623,686
Factor Arrows
214,311,843
Factor Arrows
72,044,549
Factor Arrows
13157,273

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, 7, 13, 157273

We can check our work by multiplying all of the prime factors together: 2 x 7 x 13 x 157,273 = 28,623,686

This can also be written as 21 x 71 x 131 x 157,2731 = 28,623,686

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


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