Q: What are the prime factors of the number 77,450,503?

 A: 13, 29, 15803

Why are those the prime factors of the number 77,450,503?

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 77,450,503

77,450,503
Factor Arrows
135,957,731
Factor Arrows
13458,287
Factor Arrows
2915,803

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:

13, 29, 15803

We can check our work by multiplying all of the prime factors together: 13 x 13 x 29 x 15,803 = 77,450,503

This can also be written as 132 x 291 x 15,8031 = 77,450,503

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


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