Q: What are the prime factors of the number 65,163,636?

 A: 2, 3, 269, 2243

Why are those the prime factors of the number 65,163,636?

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 65,163,636

65,163,636
Factor Arrows
232,581,818
Factor Arrows
216,290,909
Factor Arrows
35,430,303
Factor Arrows
31,810,101
Factor Arrows
3603,367
Factor Arrows
2692,243

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, 269, 2243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 269 x 2,243 = 65,163,636

This can also be written as 22 x 33 x 2691 x 2,2431 = 65,163,636

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


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