Q: What are the prime factors of the number 17,448,696?

 A: 2, 3, 26927

Why are those the prime factors of the number 17,448,696?

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 17,448,696

17,448,696
Factor Arrows
28,724,348
Factor Arrows
24,362,174
Factor Arrows
22,181,087
Factor Arrows
3727,029
Factor Arrows
3242,343
Factor Arrows
380,781
Factor Arrows
326,927

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, 26927

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 26,927 = 17,448,696

This can also be written as 23 x 34 x 26,9271 = 17,448,696

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


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