Q: What are the prime factors of the number 30,466,464?

 A: 2, 3, 7, 45337

Why are those the prime factors of the number 30,466,464?

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 30,466,464

30,466,464
Factor Arrows
215,233,232
Factor Arrows
27,616,616
Factor Arrows
23,808,308
Factor Arrows
21,904,154
Factor Arrows
2952,077
Factor Arrows
3317,359
Factor Arrows
745,337

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, 3, 7, 45337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 7 x 45,337 = 30,466,464

This can also be written as 25 x 31 x 71 x 45,3371 = 30,466,464

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


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