Q: What are the prime factors of the number 57,764,476?

 A: 2, 7, 11, 187547

Why are those the prime factors of the number 57,764,476?

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 57,764,476

57,764,476
Factor Arrows
228,882,238
Factor Arrows
214,441,119
Factor Arrows
72,063,017
Factor Arrows
11187,547

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, 7, 11, 187547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 11 x 187,547 = 57,764,476

This can also be written as 22 x 71 x 111 x 187,5471 = 57,764,476

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


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