Q: What are the prime factors of the number 533,041,212?

 A: 2, 3, 11, 4038191

Why are those the prime factors of the number 533,041,212?

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 533,041,212

533,041,212
Factor Arrows
2266,520,606
Factor Arrows
2133,260,303
Factor Arrows
344,420,101
Factor Arrows
114,038,191

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, 4038191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 4,038,191 = 533,041,212

This can also be written as 22 x 31 x 111 x 4,038,1911 = 533,041,212

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


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