Q: What are the prime factors of the number 320,236,203?

 A: 3, 7, 19, 802597

Why are those the prime factors of the number 320,236,203?

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 320,236,203

320,236,203
Factor Arrows
3106,745,401
Factor Arrows
715,249,343
Factor Arrows
19802,597

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, 7, 19, 802597

We can check our work by multiplying all of the prime factors together: 3 x 7 x 19 x 802,597 = 320,236,203

This can also be written as 31 x 71 x 191 x 802,5971 = 320,236,203

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


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