Q: What are the prime factors of the number 536,122,416?

 A: 2, 3, 103, 108439

Why are those the prime factors of the number 536,122,416?

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 536,122,416

536,122,416
Factor Arrows
2268,061,208
Factor Arrows
2134,030,604
Factor Arrows
267,015,302
Factor Arrows
233,507,651
Factor Arrows
311,169,217
Factor Arrows
103108,439

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, 103, 108439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 103 x 108,439 = 536,122,416

This can also be written as 24 x 31 x 1031 x 108,4391 = 536,122,416

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


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