Q: What are the prime factors of the number 588,570?

 A: 2, 3, 5, 23, 853

Why are those the prime factors of the number 588,570?

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 588,570

588,570
Factor Arrows
2294,285
Factor Arrows
398,095
Factor Arrows
519,619
Factor Arrows
23853

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, 23, 853

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 23 x 853 = 588,570

This can also be written as 21 x 31 x 51 x 231 x 8531 = 588,570

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


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