Q: What are the prime factors of the number 53,390,183?

 A: 7, 11, 17, 40787

Why are those the prime factors of the number 53,390,183?

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 53,390,183

53,390,183
Factor Arrows
77,627,169
Factor Arrows
11693,379
Factor Arrows
1740,787

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:

7, 11, 17, 40787

We can check our work by multiplying all of the prime factors together: 7 x 11 x 17 x 40,787 = 53,390,183

This can also be written as 71 x 111 x 171 x 40,7871 = 53,390,183

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


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