Q: What are the prime factors of the number 65,447,055?

 A: 3, 5, 29, 73, 229

Why are those the prime factors of the number 65,447,055?

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 65,447,055

65,447,055
Factor Arrows
321,815,685
Factor Arrows
37,271,895
Factor Arrows
32,423,965
Factor Arrows
5484,793
Factor Arrows
2916,717
Factor Arrows
73229

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:

3, 5, 29, 73, 229

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 29 x 73 x 229 = 65,447,055

This can also be written as 33 x 51 x 291 x 731 x 2291 = 65,447,055

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


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