Q: What are the prime factors of the number 1,000,611?

 A: 3, 73, 1523

Why are those the prime factors of the number 1,000,611?

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 1,000,611

1,000,611
Factor Arrows
3333,537
Factor Arrows
3111,179
Factor Arrows
731,523

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:

3, 73, 1523

We can check our work by multiplying all of the prime factors together: 3 x 3 x 73 x 1,523 = 1,000,611

This can also be written as 32 x 731 x 1,5231 = 1,000,611

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


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