Q: What are the prime factors of the number 750,641,606?

 A: 2, 11, 13, 47, 55843

Why are those the prime factors of the number 750,641,606?

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 750,641,606

750,641,606
Factor Arrows
2375,320,803
Factor Arrows
1134,120,073
Factor Arrows
132,624,621
Factor Arrows
4755,843

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, 13, 47, 55843

We can check our work by multiplying all of the prime factors together: 2 x 11 x 13 x 47 x 55,843 = 750,641,606

This can also be written as 21 x 111 x 131 x 471 x 55,8431 = 750,641,606

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


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