Q: What are the prime factors of the number 5,505,696?

 A: 2, 3, 7, 2731

Why are those the prime factors of the number 5,505,696?

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 5,505,696

5,505,696
Factor Arrows
22,752,848
Factor Arrows
21,376,424
Factor Arrows
2688,212
Factor Arrows
2344,106
Factor Arrows
2172,053
Factor Arrows
357,351
Factor Arrows
319,117
Factor Arrows
72,731

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, 7, 2731

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 3 x 7 x 2,731 = 5,505,696

This can also be written as 25 x 32 x 71 x 2,7311 = 5,505,696

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


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