Q: What are the prime factors of the number 910,870?

 A: 2, 5, 79, 1153

Why are those the prime factors of the number 910,870?

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 910,870

910,870
Factor Arrows
2455,435
Factor Arrows
591,087
Factor Arrows
791,153

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, 5, 79, 1153

We can check our work by multiplying all of the prime factors together: 2 x 5 x 79 x 1,153 = 910,870

This can also be written as 21 x 51 x 791 x 1,1531 = 910,870

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


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