Q: What are the prime factors of the number 65,662,560?

 A: 2, 3, 5, 45599

Why are those the prime factors of the number 65,662,560?

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 65,662,560

65,662,560
Factor Arrows
232,831,280
Factor Arrows
216,415,640
Factor Arrows
28,207,820
Factor Arrows
24,103,910
Factor Arrows
22,051,955
Factor Arrows
3683,985
Factor Arrows
3227,995
Factor Arrows
545,599

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, 45599

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 3 x 5 x 45,599 = 65,662,560

This can also be written as 25 x 32 x 51 x 45,5991 = 65,662,560

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


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