Q: What are the prime factors of the number 843,045,496?

 A: 2, 23, 31, 147799

Why are those the prime factors of the number 843,045,496?

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 843,045,496

843,045,496
Factor Arrows
2421,522,748
Factor Arrows
2210,761,374
Factor Arrows
2105,380,687
Factor Arrows
234,581,769
Factor Arrows
31147,799

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, 23, 31, 147799

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 23 x 31 x 147,799 = 843,045,496

This can also be written as 23 x 231 x 311 x 147,7991 = 843,045,496

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


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