Q: What are the prime factors of the number 15,823,836?

 A: 2, 3, 7, 6977

Why are those the prime factors of the number 15,823,836?

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 15,823,836

15,823,836
Factor Arrows
27,911,918
Factor Arrows
23,955,959
Factor Arrows
31,318,653
Factor Arrows
3439,551
Factor Arrows
3146,517
Factor Arrows
348,839
Factor Arrows
76,977

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, 3, 7, 6977

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 7 x 6,977 = 15,823,836

This can also be written as 22 x 34 x 71 x 6,9771 = 15,823,836

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


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