Q: What are the prime factors of the number 711,617,033?

 A: 23, 41, 61, 89, 139

Why are those the prime factors of the number 711,617,033?

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 711,617,033

711,617,033
Factor Arrows
2330,939,871
Factor Arrows
41754,631
Factor Arrows
6112,371
Factor Arrows
89139

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:

23, 41, 61, 89, 139

We can check our work by multiplying all of the prime factors together: 23 x 41 x 61 x 89 x 139 = 711,617,033

This can also be written as 231 x 411 x 611 x 891 x 1391 = 711,617,033

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


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