Q: What are the prime factors of the number 763,831,424?

 A: 2, 5967433

Why are those the prime factors of the number 763,831,424?

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 763,831,424

763,831,424
Factor Arrows
2381,915,712
Factor Arrows
2190,957,856
Factor Arrows
295,478,928
Factor Arrows
247,739,464
Factor Arrows
223,869,732
Factor Arrows
211,934,866
Factor Arrows
25,967,433

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, 5967433

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5,967,433 = 763,831,424

This can also be written as 27 x 5,967,4331 = 763,831,424

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


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