Q: What are the prime factors of the number 5,560,776?

 A: 2, 3, 13, 457

Why are those the prime factors of the number 5,560,776?

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 5,560,776

5,560,776
Factor Arrows
22,780,388
Factor Arrows
21,390,194
Factor Arrows
2695,097
Factor Arrows
3231,699
Factor Arrows
377,233
Factor Arrows
135,941
Factor Arrows
13457

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, 13, 457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 13 x 13 x 457 = 5,560,776

This can also be written as 23 x 32 x 132 x 4571 = 5,560,776

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


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