Q: What are the prime factors of the number 781,202,424?

 A: 2, 3, 32550101

Why are those the prime factors of the number 781,202,424?

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 781,202,424

781,202,424
Factor Arrows
2390,601,212
Factor Arrows
2195,300,606
Factor Arrows
297,650,303
Factor Arrows
332,550,101

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, 3, 32550101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 32,550,101 = 781,202,424

This can also be written as 23 x 31 x 32,550,1011 = 781,202,424

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


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