Q: What are the prime factors of the number 52,557,554?

 A: 2, 7, 59, 63629

Why are those the prime factors of the number 52,557,554?

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 52,557,554

52,557,554
Factor Arrows
226,278,777
Factor Arrows
73,754,111
Factor Arrows
5963,629

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, 7, 59, 63629

We can check our work by multiplying all of the prime factors together: 2 x 7 x 59 x 63,629 = 52,557,554

This can also be written as 21 x 71 x 591 x 63,6291 = 52,557,554

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


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