Q: What are the prime factors of the number 30,932,224?

 A: 2, 120829

Why are those the prime factors of the number 30,932,224?

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 30,932,224

30,932,224
Factor Arrows
215,466,112
Factor Arrows
27,733,056
Factor Arrows
23,866,528
Factor Arrows
21,933,264
Factor Arrows
2966,632
Factor Arrows
2483,316
Factor Arrows
2241,658
Factor Arrows
2120,829

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, 120829

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 2 x 2 x 120,829 = 30,932,224

This can also be written as 28 x 120,8291 = 30,932,224

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


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