Q: What are the prime factors of the number 436,731,242?

 A: 2, 29, 419, 17971

Why are those the prime factors of the number 436,731,242?

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 436,731,242

436,731,242
Factor Arrows
2218,365,621
Factor Arrows
297,529,849
Factor Arrows
41917,971

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, 29, 419, 17971

We can check our work by multiplying all of the prime factors together: 2 x 29 x 419 x 17,971 = 436,731,242

This can also be written as 21 x 291 x 4191 x 17,9711 = 436,731,242

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


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