Q: What are the prime factors of the number 6,095,980?

 A: 2, 5, 11, 229

Why are those the prime factors of the number 6,095,980?

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 6,095,980

6,095,980
Factor Arrows
23,047,990
Factor Arrows
21,523,995
Factor Arrows
5304,799
Factor Arrows
1127,709
Factor Arrows
112,519
Factor Arrows
11229

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, 11, 229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 11 x 11 x 229 = 6,095,980

This can also be written as 22 x 51 x 113 x 2291 = 6,095,980

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


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