Q: What are the prime factors of the number 212,101,408?

 A: 2, 19, 348851

Why are those the prime factors of the number 212,101,408?

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 212,101,408

212,101,408
Factor Arrows
2106,050,704
Factor Arrows
253,025,352
Factor Arrows
226,512,676
Factor Arrows
213,256,338
Factor Arrows
26,628,169
Factor Arrows
19348,851

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, 348851

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 19 x 348,851 = 212,101,408

This can also be written as 25 x 191 x 348,8511 = 212,101,408

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


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