Q: What are the prime factors of the number 14,533,696?

 A: 2, 227089

Why are those the prime factors of the number 14,533,696?

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 14,533,696

14,533,696
Factor Arrows
27,266,848
Factor Arrows
23,633,424
Factor Arrows
21,816,712
Factor Arrows
2908,356
Factor Arrows
2454,178
Factor Arrows
2227,089

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, 227089

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 227,089 = 14,533,696

This can also be written as 26 x 227,0891 = 14,533,696

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


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