Q: What are the factor combinations of the number 770,717,843?

 A:
Positive:   1 x 7707178437 x 11010254919 x 40564097133 x 5794871911 x 8460136361 x 1211636377 x 12085917309 x 44527
Negative: -1 x -770717843-7 x -110102549-19 x -40564097-133 x -5794871-911 x -846013-6361 x -121163-6377 x -120859-17309 x -44527


How do I find the factor combinations of the number 770,717,843?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 770,717,843, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 770,717,843
-1 -770,717,843

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 770,717,843.

Example:
1 x 770,717,843 = 770,717,843
and
-1 x -770,717,843 = 770,717,843
Notice both answers equal 770,717,843

With that explanation out of the way, let's continue. Next, we take the number 770,717,843 and divide it by 2:

770,717,843 ÷ 2 = 385,358,921.5

If the quotient is a whole number, then 2 and 385,358,921.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 770,717,843
-1 -770,717,843

Now, we try dividing 770,717,843 by 3:

770,717,843 ÷ 3 = 256,905,947.6667

If the quotient is a whole number, then 3 and 256,905,947.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 770,717,843
-1 -770,717,843

Let's try dividing by 4:

770,717,843 ÷ 4 = 192,679,460.75

If the quotient is a whole number, then 4 and 192,679,460.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 770,717,843
-1 770,717,843
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

17191339116,3616,37717,30944,527120,859121,163846,0135,794,87140,564,097110,102,549770,717,843
-1-7-19-133-911-6,361-6,377-17,309-44,527-120,859-121,163-846,013-5,794,871-40,564,097-110,102,549-770,717,843

More Examples

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