Q: What are the prime factors of the number 1,910,976?

 A: 2, 3, 37, 269

Why are those the prime factors of the number 1,910,976?

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 1,910,976

1,910,976
Factor Arrows
2955,488
Factor Arrows
2477,744
Factor Arrows
2238,872
Factor Arrows
2119,436
Factor Arrows
259,718
Factor Arrows
229,859
Factor Arrows
39,953
Factor Arrows
37269

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, 37, 269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37 x 269 = 1,910,976

This can also be written as 26 x 31 x 371 x 2691 = 1,910,976

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


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