Q: What are the prime factors of the number 210,243,502?

 A: 2, 7, 47, 319519

Why are those the prime factors of the number 210,243,502?

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 210,243,502

210,243,502
Factor Arrows
2105,121,751
Factor Arrows
715,017,393
Factor Arrows
47319,519

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:

2, 7, 47, 319519

We can check our work by multiplying all of the prime factors together: 2 x 7 x 47 x 319,519 = 210,243,502

This can also be written as 21 x 71 x 471 x 319,5191 = 210,243,502

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


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