Q: What are the prime factors of the number 51,705,980?

 A: 2, 5, 149, 17351

Why are those the prime factors of the number 51,705,980?

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 51,705,980

51,705,980
Factor Arrows
225,852,990
Factor Arrows
212,926,495
Factor Arrows
52,585,299
Factor Arrows
14917,351

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, 149, 17351

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 149 x 17,351 = 51,705,980

This can also be written as 22 x 51 x 1491 x 17,3511 = 51,705,980

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


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