Q: What are the prime factors of the number 14,715,552?

 A: 2, 3, 153287

Why are those the prime factors of the number 14,715,552?

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 14,715,552

14,715,552
Factor Arrows
27,357,776
Factor Arrows
23,678,888
Factor Arrows
21,839,444
Factor Arrows
2919,722
Factor Arrows
2459,861
Factor Arrows
3153,287

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, 153287

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 153,287 = 14,715,552

This can also be written as 25 x 31 x 153,2871 = 14,715,552

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


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