Q: What are the prime factors of the number 291,967,764?

 A: 2, 3, 11, 43, 51439

Why are those the prime factors of the number 291,967,764?

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 291,967,764

291,967,764
Factor Arrows
2145,983,882
Factor Arrows
272,991,941
Factor Arrows
324,330,647
Factor Arrows
112,211,877
Factor Arrows
4351,439

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, 3, 11, 43, 51439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 43 x 51,439 = 291,967,764

This can also be written as 22 x 31 x 111 x 431 x 51,4391 = 291,967,764

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


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