Q: What are the prime factors of the number 53,265,616?

 A: 2, 3329101

Why are those the prime factors of the number 53,265,616?

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 53,265,616

53,265,616
Factor Arrows
226,632,808
Factor Arrows
213,316,404
Factor Arrows
26,658,202
Factor Arrows
23,329,101

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, 3329101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3,329,101 = 53,265,616

This can also be written as 24 x 3,329,1011 = 53,265,616

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


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