Q: What are the prime factors of the number 65,551,518?

 A: 2, 3, 23, 73, 241

Why are those the prime factors of the number 65,551,518?

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 65,551,518

65,551,518
Factor Arrows
232,775,759
Factor Arrows
310,925,253
Factor Arrows
33,641,751
Factor Arrows
31,213,917
Factor Arrows
3404,639
Factor Arrows
2317,593
Factor Arrows
73241

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, 23, 73, 241

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 23 x 73 x 241 = 65,551,518

This can also be written as 21 x 34 x 231 x 731 x 2411 = 65,551,518

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


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