Q: What are the prime factors of the number 210,201,020?

 A: 2, 5, 157, 66943

Why are those the prime factors of the number 210,201,020?

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 210,201,020

210,201,020
Factor Arrows
2105,100,510
Factor Arrows
252,550,255
Factor Arrows
510,510,051
Factor Arrows
15766,943

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, 5, 157, 66943

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 157 x 66,943 = 210,201,020

This can also be written as 22 x 51 x 1571 x 66,9431 = 210,201,020

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


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