Q: What are the prime factors of the number 6,240,190?

 A: 2, 5, 11, 17, 47, 71

Why are those the prime factors of the number 6,240,190?

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 6,240,190

6,240,190
Factor Arrows
23,120,095
Factor Arrows
5624,019
Factor Arrows
1156,729
Factor Arrows
173,337
Factor Arrows
4771

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, 17, 47, 71

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 17 x 47 x 71 = 6,240,190

This can also be written as 21 x 51 x 111 x 171 x 471 x 711 = 6,240,190

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


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