Q: What are the prime factors of the number 65,836,216?

 A: 2, 19, 181, 2393

Why are those the prime factors of the number 65,836,216?

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 65,836,216

65,836,216
Factor Arrows
232,918,108
Factor Arrows
216,459,054
Factor Arrows
28,229,527
Factor Arrows
19433,133
Factor Arrows
1812,393

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, 19, 181, 2393

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 181 x 2,393 = 65,836,216

This can also be written as 23 x 191 x 1811 x 2,3931 = 65,836,216

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


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