Q: What are the prime factors of the number 53,301,265?

 A: 5, 127, 83939

Why are those the prime factors of the number 53,301,265?

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 53,301,265

53,301,265
Factor Arrows
510,660,253
Factor Arrows
12783,939

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:

5, 127, 83939

We can check our work by multiplying all of the prime factors together: 5 x 127 x 83,939 = 53,301,265

This can also be written as 51 x 1271 x 83,9391 = 53,301,265

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


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