Q: What are the prime factors of the number 2,298,840?

 A: 2, 3, 5, 19157

Why are those the prime factors of the number 2,298,840?

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 2,298,840

2,298,840
Factor Arrows
21,149,420
Factor Arrows
2574,710
Factor Arrows
2287,355
Factor Arrows
395,785
Factor Arrows
519,157

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, 5, 19157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 19,157 = 2,298,840

This can also be written as 23 x 31 x 51 x 19,1571 = 2,298,840

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


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