Q: What are the prime factors of the number 65,163,520?

 A: 2, 5, 50909

Why are those the prime factors of the number 65,163,520?

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 65,163,520

65,163,520
Factor Arrows
232,581,760
Factor Arrows
216,290,880
Factor Arrows
28,145,440
Factor Arrows
24,072,720
Factor Arrows
22,036,360
Factor Arrows
21,018,180
Factor Arrows
2509,090
Factor Arrows
2254,545
Factor Arrows
550,909

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, 50909

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 50,909 = 65,163,520

This can also be written as 28 x 51 x 50,9091 = 65,163,520

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


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