Q: What are the prime factors of the number 67,343,775?

 A: 3, 5, 419, 2143

Why are those the prime factors of the number 67,343,775?

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 67,343,775

67,343,775
Factor Arrows
322,447,925
Factor Arrows
54,489,585
Factor Arrows
5897,917
Factor Arrows
4192,143

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, 5, 419, 2143

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 419 x 2,143 = 67,343,775

This can also be written as 31 x 52 x 4191 x 2,1431 = 67,343,775

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


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