Q: What are the prime factors of the number 77,404,041?

 A: 3, 11, 13, 137, 439

Why are those the prime factors of the number 77,404,041?

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 77,404,041

77,404,041
Factor Arrows
325,801,347
Factor Arrows
38,600,449
Factor Arrows
11781,859
Factor Arrows
1360,143
Factor Arrows
137439

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:

3, 11, 13, 137, 439

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 13 x 137 x 439 = 77,404,041

This can also be written as 32 x 111 x 131 x 1371 x 4391 = 77,404,041

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


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