Q: What are the prime factors of the number 85,830,237?

 A: 3, 491, 19423

Why are those the prime factors of the number 85,830,237?

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 85,830,237

85,830,237
Factor Arrows
328,610,079
Factor Arrows
39,536,693
Factor Arrows
49119,423

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, 491, 19423

We can check our work by multiplying all of the prime factors together: 3 x 3 x 491 x 19,423 = 85,830,237

This can also be written as 32 x 4911 x 19,4231 = 85,830,237

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


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