Q: What are the prime factors of the number 68,903,702?

 A: 2, 7, 193, 3643

Why are those the prime factors of the number 68,903,702?

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 68,903,702

68,903,702
Factor Arrows
234,451,851
Factor Arrows
74,921,693
Factor Arrows
7703,099
Factor Arrows
1933,643

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, 7, 193, 3643

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 193 x 3,643 = 68,903,702

This can also be written as 21 x 72 x 1931 x 3,6431 = 68,903,702

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


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