Q: What are the prime factors of the number 200,020,100?

 A: 2, 5, 7, 79, 3617

Why are those the prime factors of the number 200,020,100?

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 200,020,100

200,020,100
Factor Arrows
2100,010,050
Factor Arrows
250,005,025
Factor Arrows
510,001,005
Factor Arrows
52,000,201
Factor Arrows
7285,743
Factor Arrows
793,617

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, 7, 79, 3617

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 7 x 79 x 3,617 = 200,020,100

This can also be written as 22 x 52 x 71 x 791 x 3,6171 = 200,020,100

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


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