Q: What are the prime factors of the number 436,453,672?

 A: 2, 887, 61507

Why are those the prime factors of the number 436,453,672?

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 436,453,672

436,453,672
Factor Arrows
2218,226,836
Factor Arrows
2109,113,418
Factor Arrows
254,556,709
Factor Arrows
88761,507

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, 887, 61507

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 887 x 61,507 = 436,453,672

This can also be written as 23 x 8871 x 61,5071 = 436,453,672

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


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