Q: What are the prime factors of the number 57,546,307?

 A: 7, 13, 19, 83, 401

Why are those the prime factors of the number 57,546,307?

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 57,546,307

57,546,307
Factor Arrows
78,220,901
Factor Arrows
13632,377
Factor Arrows
1933,283
Factor Arrows
83401

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:

7, 13, 19, 83, 401

We can check our work by multiplying all of the prime factors together: 7 x 13 x 19 x 83 x 401 = 57,546,307

This can also be written as 71 x 131 x 191 x 831 x 4011 = 57,546,307

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


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