Q: What are the prime factors of the number 42,500,211?

 A: 3, 13, 43, 25343

Why are those the prime factors of the number 42,500,211?

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 42,500,211

42,500,211
Factor Arrows
314,166,737
Factor Arrows
131,089,749
Factor Arrows
4325,343

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:

3, 13, 43, 25343

We can check our work by multiplying all of the prime factors together: 3 x 13 x 43 x 25,343 = 42,500,211

This can also be written as 31 x 131 x 431 x 25,3431 = 42,500,211

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


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