Q: What are the prime factors of the number 212,554,615?

 A: 5, 7, 13, 19, 23, 1069

Why are those the prime factors of the number 212,554,615?

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 212,554,615

212,554,615
Factor Arrows
542,510,923
Factor Arrows
76,072,989
Factor Arrows
13467,153
Factor Arrows
1924,587
Factor Arrows
231,069

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:

5, 7, 13, 19, 23, 1069

We can check our work by multiplying all of the prime factors together: 5 x 7 x 13 x 19 x 23 x 1,069 = 212,554,615

This can also be written as 51 x 71 x 131 x 191 x 231 x 1,0691 = 212,554,615

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


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