Q: What are the prime factors of the number 6,155,232?

 A: 2, 3, 97, 661

Why are those the prime factors of the number 6,155,232?

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 6,155,232

6,155,232
Factor Arrows
23,077,616
Factor Arrows
21,538,808
Factor Arrows
2769,404
Factor Arrows
2384,702
Factor Arrows
2192,351
Factor Arrows
364,117
Factor Arrows
97661

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, 97, 661

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 97 x 661 = 6,155,232

This can also be written as 25 x 31 x 971 x 6611 = 6,155,232

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


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