Q: What are the prime factors of the number 34,424,136?

 A: 2, 3, 31, 53, 97

Why are those the prime factors of the number 34,424,136?

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 34,424,136

34,424,136
Factor Arrows
217,212,068
Factor Arrows
28,606,034
Factor Arrows
24,303,017
Factor Arrows
31,434,339
Factor Arrows
3478,113
Factor Arrows
3159,371
Factor Arrows
315,141
Factor Arrows
5397

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, 3, 31, 53, 97

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 31 x 53 x 97 = 34,424,136

This can also be written as 23 x 33 x 311 x 531 x 971 = 34,424,136

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


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