Q: What are the prime factors of the number 618,570?

 A: 2, 3, 5, 29, 79

Why are those the prime factors of the number 618,570?

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 618,570

618,570
Factor Arrows
2309,285
Factor Arrows
3103,095
Factor Arrows
334,365
Factor Arrows
311,455
Factor Arrows
52,291
Factor Arrows
2979

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, 29, 79

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 29 x 79 = 618,570

This can also be written as 21 x 33 x 51 x 291 x 791 = 618,570

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


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