Q: What are the prime factors of the number 68,880,350?

 A: 2, 5, 7, 11, 17891

Why are those the prime factors of the number 68,880,350?

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 68,880,350

68,880,350
Factor Arrows
234,440,175
Factor Arrows
56,888,035
Factor Arrows
51,377,607
Factor Arrows
7196,801
Factor Arrows
1117,891

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, 7, 11, 17891

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 11 x 17,891 = 68,880,350

This can also be written as 21 x 52 x 71 x 111 x 17,8911 = 68,880,350

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


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