Q: What are the prime factors of the number 23,062,285?

 A: 5, 17, 37, 7333

Why are those the prime factors of the number 23,062,285?

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 23,062,285

23,062,285
Factor Arrows
54,612,457
Factor Arrows
17271,321
Factor Arrows
377,333

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, 17, 37, 7333

We can check our work by multiplying all of the prime factors together: 5 x 17 x 37 x 7,333 = 23,062,285

This can also be written as 51 x 171 x 371 x 7,3331 = 23,062,285

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


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