Q: What are the prime factors of the number 1,659,878?

 A: 2, 11, 19

Why are those the prime factors of the number 1,659,878?

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 1,659,878

1,659,878
Factor Arrows
2829,939
Factor Arrows
1175,449
Factor Arrows
116,859
Factor Arrows
19361
Factor Arrows
1919

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, 11, 19

We can check our work by multiplying all of the prime factors together: 2 x 11 x 11 x 19 x 19 x 19 = 1,659,878

This can also be written as 21 x 112 x 193 = 1,659,878

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


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