Q: What are the prime factors of the number 23,125,568?

 A: 2, 361337

Why are those the prime factors of the number 23,125,568?

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 23,125,568

23,125,568
Factor Arrows
211,562,784
Factor Arrows
25,781,392
Factor Arrows
22,890,696
Factor Arrows
21,445,348
Factor Arrows
2722,674
Factor Arrows
2361,337

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, 361337

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 361,337 = 23,125,568

This can also be written as 26 x 361,3371 = 23,125,568

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


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