Q: What are the prime factors of the number 57,533,554?

 A: 2, 13, 223, 9923

Why are those the prime factors of the number 57,533,554?

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 57,533,554

57,533,554
Factor Arrows
228,766,777
Factor Arrows
132,212,829
Factor Arrows
2239,923

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, 13, 223, 9923

We can check our work by multiplying all of the prime factors together: 2 x 13 x 223 x 9,923 = 57,533,554

This can also be written as 21 x 131 x 2231 x 9,9231 = 57,533,554

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


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