Q: What are the prime factors of the number 4,775,364?

 A: 2, 3, 11, 31, 389

Why are those the prime factors of the number 4,775,364?

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 4,775,364

4,775,364
Factor Arrows
22,387,682
Factor Arrows
21,193,841
Factor Arrows
3397,947
Factor Arrows
3132,649
Factor Arrows
1112,059
Factor Arrows
31389

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, 31, 389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 31 x 389 = 4,775,364

This can also be written as 22 x 32 x 111 x 311 x 3891 = 4,775,364

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


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