Q: What are the prime factors of the number 210,124,431?

 A: 3, 11, 2122469

Why are those the prime factors of the number 210,124,431?

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 210,124,431

210,124,431
Factor Arrows
370,041,477
Factor Arrows
323,347,159
Factor Arrows
112,122,469

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, 11, 2122469

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 2,122,469 = 210,124,431

This can also be written as 32 x 111 x 2,122,4691 = 210,124,431

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


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