Q: What are the prime factors of the number 605,533,149?

 A: 3, 13, 17, 167, 1823

Why are those the prime factors of the number 605,533,149?

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 605,533,149

605,533,149
Factor Arrows
3201,844,383
Factor Arrows
367,281,461
Factor Arrows
135,175,497
Factor Arrows
17304,441
Factor Arrows
1671,823

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:

3, 13, 17, 167, 1823

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 17 x 167 x 1,823 = 605,533,149

This can also be written as 32 x 131 x 171 x 1671 x 1,8231 = 605,533,149

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


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