Q: What are the prime factors of the number 1,180,972?

 A: 2, 13, 1747

Why are those the prime factors of the number 1,180,972?

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 1,180,972

1,180,972
Factor Arrows
2590,486
Factor Arrows
2295,243
Factor Arrows
1322,711
Factor Arrows
131,747

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, 13, 1747

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 13 x 1,747 = 1,180,972

This can also be written as 22 x 132 x 1,7471 = 1,180,972

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


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