Q: What are the prime factors of the number 202,043,211?

 A: 3, 79, 571, 1493

Why are those the prime factors of the number 202,043,211?

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 202,043,211

202,043,211
Factor Arrows
367,347,737
Factor Arrows
79852,503
Factor Arrows
5711,493

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, 79, 571, 1493

We can check our work by multiplying all of the prime factors together: 3 x 79 x 571 x 1,493 = 202,043,211

This can also be written as 31 x 791 x 5711 x 1,4931 = 202,043,211

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


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