Q: What are the prime factors of the number 121,622,765?

 A: 5, 11, 31, 71333

Why are those the prime factors of the number 121,622,765?

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 121,622,765

121,622,765
Factor Arrows
524,324,553
Factor Arrows
112,211,323
Factor Arrows
3171,333

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:

5, 11, 31, 71333

We can check our work by multiplying all of the prime factors together: 5 x 11 x 31 x 71,333 = 121,622,765

This can also be written as 51 x 111 x 311 x 71,3331 = 121,622,765

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


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