Q: What are the prime factors of the number 1,971,904?

 A: 2, 11, 2801

Why are those the prime factors of the number 1,971,904?

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 1,971,904

1,971,904
Factor Arrows
2985,952
Factor Arrows
2492,976
Factor Arrows
2246,488
Factor Arrows
2123,244
Factor Arrows
261,622
Factor Arrows
230,811
Factor Arrows
112,801

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, 2801

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 11 x 2,801 = 1,971,904

This can also be written as 26 x 111 x 2,8011 = 1,971,904

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


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