Q: What are the prime factors of the number 1,777,150?

 A: 2, 5, 35543

Why are those the prime factors of the number 1,777,150?

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 1,777,150

1,777,150
Factor Arrows
2888,575
Factor Arrows
5177,715
Factor Arrows
535,543

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, 5, 35543

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 35,543 = 1,777,150

This can also be written as 21 x 52 x 35,5431 = 1,777,150

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


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