Q: What are the prime factors of the number 3,511,773?

 A: 3, 31, 41, 307

Why are those the prime factors of the number 3,511,773?

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 3,511,773

3,511,773
Factor Arrows
31,170,591
Factor Arrows
3390,197
Factor Arrows
3112,587
Factor Arrows
41307

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, 31, 41, 307

We can check our work by multiplying all of the prime factors together: 3 x 3 x 31 x 41 x 307 = 3,511,773

This can also be written as 32 x 311 x 411 x 3071 = 3,511,773

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


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