Q: What are the prime factors of the number 200,423,158?

 A: 2, 13, 79, 97577

Why are those the prime factors of the number 200,423,158?

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 200,423,158

200,423,158
Factor Arrows
2100,211,579
Factor Arrows
137,708,583
Factor Arrows
7997,577

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, 13, 79, 97577

We can check our work by multiplying all of the prime factors together: 2 x 13 x 79 x 97,577 = 200,423,158

This can also be written as 21 x 131 x 791 x 97,5771 = 200,423,158

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


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