Q: What are the prime factors of the number 777,473,476?

 A: 2, 13, 14951413

Why are those the prime factors of the number 777,473,476?

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 777,473,476

777,473,476
Factor Arrows
2388,736,738
Factor Arrows
2194,368,369
Factor Arrows
1314,951,413

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:

2, 13, 14951413

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 14,951,413 = 777,473,476

This can also be written as 22 x 131 x 14,951,4131 = 777,473,476

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


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