Q: What are the prime factors of the number 970,716?

 A: 2, 3, 41, 1973

Why are those the prime factors of the number 970,716?

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 970,716

970,716
Factor Arrows
2485,358
Factor Arrows
2242,679
Factor Arrows
380,893
Factor Arrows
411,973

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, 41, 1973

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 41 x 1,973 = 970,716

This can also be written as 22 x 31 x 411 x 1,9731 = 970,716

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


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