Q: What are the prime factors of the number 65,111,840?

 A: 2, 5, 83, 4903

Why are those the prime factors of the number 65,111,840?

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 65,111,840

65,111,840
Factor Arrows
232,555,920
Factor Arrows
216,277,960
Factor Arrows
28,138,980
Factor Arrows
24,069,490
Factor Arrows
22,034,745
Factor Arrows
5406,949
Factor Arrows
834,903

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, 83, 4903

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 83 x 4,903 = 65,111,840

This can also be written as 25 x 51 x 831 x 4,9031 = 65,111,840

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


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