Q: What are the prime factors of the number 68,941,943?

 A: 7, 43, 227, 1009

Why are those the prime factors of the number 68,941,943?

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 68,941,943

68,941,943
Factor Arrows
79,848,849
Factor Arrows
43229,043
Factor Arrows
2271,009

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:

7, 43, 227, 1009

We can check our work by multiplying all of the prime factors together: 7 x 43 x 227 x 1,009 = 68,941,943

This can also be written as 71 x 431 x 2271 x 1,0091 = 68,941,943

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


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