Q: What are the prime factors of the number 234,064,440?

 A: 2, 3, 5, 650179

Why are those the prime factors of the number 234,064,440?

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 234,064,440

234,064,440
Factor Arrows
2117,032,220
Factor Arrows
258,516,110
Factor Arrows
229,258,055
Factor Arrows
39,752,685
Factor Arrows
33,250,895
Factor Arrows
5650,179

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, 5, 650179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 650,179 = 234,064,440

This can also be written as 23 x 32 x 51 x 650,1791 = 234,064,440

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


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