Q: What are the prime factors of the number 70,601,194?

 A: 2, 53, 79, 8431

Why are those the prime factors of the number 70,601,194?

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 70,601,194

70,601,194
Factor Arrows
235,300,597
Factor Arrows
53666,049
Factor Arrows
798,431

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, 53, 79, 8431

We can check our work by multiplying all of the prime factors together: 2 x 53 x 79 x 8,431 = 70,601,194

This can also be written as 21 x 531 x 791 x 8,4311 = 70,601,194

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


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