Q: What are the prime factors of the number 211,250,505?

 A: 3, 5, 14083367

Why are those the prime factors of the number 211,250,505?

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 211,250,505

211,250,505
Factor Arrows
370,416,835
Factor Arrows
514,083,367

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, 5, 14083367

We can check our work by multiplying all of the prime factors together: 3 x 5 x 14,083,367 = 211,250,505

This can also be written as 31 x 51 x 14,083,3671 = 211,250,505

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


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