Q: What are the prime factors of the number 2,845,836?

 A: 2, 3, 7, 23, 491

Why are those the prime factors of the number 2,845,836?

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 2,845,836

2,845,836
Factor Arrows
21,422,918
Factor Arrows
2711,459
Factor Arrows
3237,153
Factor Arrows
379,051
Factor Arrows
711,293
Factor Arrows
23491

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, 23, 491

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 23 x 491 = 2,845,836

This can also be written as 22 x 32 x 71 x 231 x 4911 = 2,845,836

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


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