Q: What are the prime factors of the number 59,155,702?

 A: 2, 19, 41, 43, 883

Why are those the prime factors of the number 59,155,702?

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 59,155,702

59,155,702
Factor Arrows
229,577,851
Factor Arrows
191,556,729
Factor Arrows
4137,969
Factor Arrows
43883

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, 19, 41, 43, 883

We can check our work by multiplying all of the prime factors together: 2 x 19 x 41 x 43 x 883 = 59,155,702

This can also be written as 21 x 191 x 411 x 431 x 8831 = 59,155,702

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


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