Q: What are the prime factors of the number 1,183,716?

 A: 2, 3, 131, 251

Why are those the prime factors of the number 1,183,716?

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 1,183,716

1,183,716
Factor Arrows
2591,858
Factor Arrows
2295,929
Factor Arrows
398,643
Factor Arrows
332,881
Factor Arrows
131251

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, 131, 251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 131 x 251 = 1,183,716

This can also be written as 22 x 32 x 1311 x 2511 = 1,183,716

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


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