Q: What are the prime factors of the number 1,810,396?

 A: 2, 7, 19, 41, 83

Why are those the prime factors of the number 1,810,396?

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 1,810,396

1,810,396
Factor Arrows
2905,198
Factor Arrows
2452,599
Factor Arrows
764,657
Factor Arrows
193,403
Factor Arrows
4183

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, 7, 19, 41, 83

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 19 x 41 x 83 = 1,810,396

This can also be written as 22 x 71 x 191 x 411 x 831 = 1,810,396

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


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