Q: What are the prime factors of the number 436,015,554?

 A: 2, 3, 13, 23, 10567

Why are those the prime factors of the number 436,015,554?

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 436,015,554

436,015,554
Factor Arrows
2218,007,777
Factor Arrows
372,669,259
Factor Arrows
135,589,943
Factor Arrows
23243,041
Factor Arrows
2310,567

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, 13, 23, 10567

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 23 x 23 x 10,567 = 436,015,554

This can also be written as 21 x 31 x 131 x 232 x 10,5671 = 436,015,554

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


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