Q: What are the prime factors of the number 1,853,118?

 A: 2, 3, 31, 41

Why are those the prime factors of the number 1,853,118?

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 1,853,118

1,853,118
Factor Arrows
2926,559
Factor Arrows
3308,853
Factor Arrows
3102,951
Factor Arrows
334,317
Factor Arrows
311,439
Factor Arrows
33,813
Factor Arrows
31,271
Factor Arrows
3141

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, 31, 41

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 31 x 41 = 1,853,118

This can also be written as 21 x 36 x 311 x 411 = 1,853,118

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


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