Q: What are the prime factors of the number 53,241,419?

 A: 7, 11, 29, 113, 211

Why are those the prime factors of the number 53,241,419?

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 53,241,419

53,241,419
Factor Arrows
77,605,917
Factor Arrows
11691,447
Factor Arrows
2923,843
Factor Arrows
113211

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, 29, 113, 211

We can check our work by multiplying all of the prime factors together: 7 x 11 x 29 x 113 x 211 = 53,241,419

This can also be written as 71 x 111 x 291 x 1131 x 2111 = 53,241,419

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


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