Q: What are the prime factors of the number 433,276,712?

 A: 2, 11, 4923599

Why are those the prime factors of the number 433,276,712?

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 433,276,712

433,276,712
Factor Arrows
2216,638,356
Factor Arrows
2108,319,178
Factor Arrows
254,159,589
Factor Arrows
114,923,599

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, 11, 4923599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 4,923,599 = 433,276,712

This can also be written as 23 x 111 x 4,923,5991 = 433,276,712

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


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