Q: What are the prime factors of the number 735,212,667?

 A: 3, 7, 43, 593, 1373

Why are those the prime factors of the number 735,212,667?

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 735,212,667

735,212,667
Factor Arrows
3245,070,889
Factor Arrows
735,010,127
Factor Arrows
43814,189
Factor Arrows
5931,373

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:

3, 7, 43, 593, 1373

We can check our work by multiplying all of the prime factors together: 3 x 7 x 43 x 593 x 1,373 = 735,212,667

This can also be written as 31 x 71 x 431 x 5931 x 1,3731 = 735,212,667

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


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