Q: What are the prime factors of the number 23,528,808?

 A: 2, 3, 139, 2351

Why are those the prime factors of the number 23,528,808?

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 23,528,808

23,528,808
Factor Arrows
211,764,404
Factor Arrows
25,882,202
Factor Arrows
22,941,101
Factor Arrows
3980,367
Factor Arrows
3326,789
Factor Arrows
1392,351

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, 139, 2351

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 139 x 2,351 = 23,528,808

This can also be written as 23 x 32 x 1391 x 2,3511 = 23,528,808

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


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