Q: What are the prime factors of the number 774,100,624?

 A: 2, 11, 113, 38923

Why are those the prime factors of the number 774,100,624?

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 774,100,624

774,100,624
Factor Arrows
2387,050,312
Factor Arrows
2193,525,156
Factor Arrows
296,762,578
Factor Arrows
248,381,289
Factor Arrows
114,398,299
Factor Arrows
11338,923

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, 113, 38923

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 113 x 38,923 = 774,100,624

This can also be written as 24 x 111 x 1131 x 38,9231 = 774,100,624

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


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