Q: What are the prime factors of the number 15,227,064?

 A: 2, 3, 61, 3467

Why are those the prime factors of the number 15,227,064?

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 15,227,064

15,227,064
Factor Arrows
27,613,532
Factor Arrows
23,806,766
Factor Arrows
21,903,383
Factor Arrows
3634,461
Factor Arrows
3211,487
Factor Arrows
613,467

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, 61, 3467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 61 x 3,467 = 15,227,064

This can also be written as 23 x 32 x 611 x 3,4671 = 15,227,064

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


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