Q: What are the prime factors of the number 66,063,950?

 A: 2, 5, 19, 197, 353

Why are those the prime factors of the number 66,063,950?

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 66,063,950

66,063,950
Factor Arrows
233,031,975
Factor Arrows
56,606,395
Factor Arrows
51,321,279
Factor Arrows
1969,541
Factor Arrows
197353

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, 19, 197, 353

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 19 x 197 x 353 = 66,063,950

This can also be written as 21 x 52 x 191 x 1971 x 3531 = 66,063,950

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


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