Q: What are the prime factors of the number 1,977,088?

 A: 2, 7723

Why are those the prime factors of the number 1,977,088?

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 1,977,088

1,977,088
Factor Arrows
2988,544
Factor Arrows
2494,272
Factor Arrows
2247,136
Factor Arrows
2123,568
Factor Arrows
261,784
Factor Arrows
230,892
Factor Arrows
215,446
Factor Arrows
27,723

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, 7723

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 2 x 2 x 7,723 = 1,977,088

This can also be written as 28 x 7,7231 = 1,977,088

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


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