Q: What are the prime factors of the number 20,275,392?

 A: 2, 3, 105601

Why are those the prime factors of the number 20,275,392?

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 20,275,392

20,275,392
Factor Arrows
210,137,696
Factor Arrows
25,068,848
Factor Arrows
22,534,424
Factor Arrows
21,267,212
Factor Arrows
2633,606
Factor Arrows
2316,803
Factor Arrows
3105,601

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, 105601

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 105,601 = 20,275,392

This can also be written as 26 x 31 x 105,6011 = 20,275,392

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


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