Q: What are the prime factors of the number 23,164,910?

 A: 2, 5, 23, 29, 151

Why are those the prime factors of the number 23,164,910?

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 23,164,910

23,164,910
Factor Arrows
211,582,455
Factor Arrows
52,316,491
Factor Arrows
23100,717
Factor Arrows
234,379
Factor Arrows
29151

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, 5, 23, 29, 151

We can check our work by multiplying all of the prime factors together: 2 x 5 x 23 x 23 x 29 x 151 = 23,164,910

This can also be written as 21 x 51 x 232 x 291 x 1511 = 23,164,910

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


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