Q: What are the prime factors of the number 9,227,460?

 A: 2, 3, 5, 11, 31, 41

Why are those the prime factors of the number 9,227,460?

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 9,227,460

9,227,460
Factor Arrows
24,613,730
Factor Arrows
22,306,865
Factor Arrows
3768,955
Factor Arrows
5153,791
Factor Arrows
1113,981
Factor Arrows
111,271
Factor Arrows
3141

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, 11, 31, 41

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 11 x 31 x 41 = 9,227,460

This can also be written as 22 x 31 x 51 x 112 x 311 x 411 = 9,227,460

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


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