Q: What are the prime factors of the number 1,756,550?

 A: 2, 5, 19, 43

Why are those the prime factors of the number 1,756,550?

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 1,756,550

1,756,550
Factor Arrows
2878,275
Factor Arrows
5175,655
Factor Arrows
535,131
Factor Arrows
191,849
Factor Arrows
4343

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, 19, 43

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 19 x 43 x 43 = 1,756,550

This can also be written as 21 x 52 x 191 x 432 = 1,756,550

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


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