Q: What are the prime factors of the number 5,195,760?

 A: 2, 3, 5, 21649

Why are those the prime factors of the number 5,195,760?

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 5,195,760

5,195,760
Factor Arrows
22,597,880
Factor Arrows
21,298,940
Factor Arrows
2649,470
Factor Arrows
2324,735
Factor Arrows
3108,245
Factor Arrows
521,649

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, 21649

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 21,649 = 5,195,760

This can also be written as 24 x 31 x 51 x 21,6491 = 5,195,760

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


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