Q: What are the prime factors of the number 53,031,776?

 A: 2, 7, 236749

Why are those the prime factors of the number 53,031,776?

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 53,031,776

53,031,776
Factor Arrows
226,515,888
Factor Arrows
213,257,944
Factor Arrows
26,628,972
Factor Arrows
23,314,486
Factor Arrows
21,657,243
Factor Arrows
7236,749

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, 236749

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 236,749 = 53,031,776

This can also be written as 25 x 71 x 236,7491 = 53,031,776

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


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