Q: What are the prime factors of the number 236,622,807?

 A: 3, 37, 197, 3607

Why are those the prime factors of the number 236,622,807?

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 236,622,807

236,622,807
Factor Arrows
378,874,269
Factor Arrows
326,291,423
Factor Arrows
37710,579
Factor Arrows
1973,607

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, 37, 197, 3607

We can check our work by multiplying all of the prime factors together: 3 x 3 x 37 x 197 x 3,607 = 236,622,807

This can also be written as 32 x 371 x 1971 x 3,6071 = 236,622,807

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


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