Q: What are the prime factors of the number 1,096,380?

 A: 2, 3, 5, 6091

Why are those the prime factors of the number 1,096,380?

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 1,096,380

1,096,380
Factor Arrows
2548,190
Factor Arrows
2274,095
Factor Arrows
391,365
Factor Arrows
330,455
Factor Arrows
56,091

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, 3, 5, 6091

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 6,091 = 1,096,380

This can also be written as 22 x 32 x 51 x 6,0911 = 1,096,380

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


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