Q: What are the prime factors of the number 957,540?

 A: 2, 3, 5, 15959

Why are those the prime factors of the number 957,540?

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 957,540

957,540
Factor Arrows
2478,770
Factor Arrows
2239,385
Factor Arrows
379,795
Factor Arrows
515,959

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, 5, 15959

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 15,959 = 957,540

This can also be written as 22 x 31 x 51 x 15,9591 = 957,540

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


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