Q: What are the prime factors of the number 605,862?

 A: 2, 3, 97, 347

Why are those the prime factors of the number 605,862?

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 605,862

605,862
Factor Arrows
2302,931
Factor Arrows
3100,977
Factor Arrows
333,659
Factor Arrows
97347

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, 97, 347

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 97 x 347 = 605,862

This can also be written as 21 x 32 x 971 x 3471 = 605,862

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


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