Q: What are the prime factors of the number 836,457,813?

 A: 3, 23, 1346953

Why are those the prime factors of the number 836,457,813?

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 836,457,813

836,457,813
Factor Arrows
3278,819,271
Factor Arrows
392,939,757
Factor Arrows
330,979,919
Factor Arrows
231,346,953

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, 23, 1346953

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 23 x 1,346,953 = 836,457,813

This can also be written as 33 x 231 x 1,346,9531 = 836,457,813

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


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