Q: What are the factor combinations of the number 123,766,693?

 A:
Positive:   1 x 12376669329 x 426781779 x 156666789 x 1390637607 x 2038992291 x 540232581 x 479537031 x 17603
Negative: -1 x -123766693-29 x -4267817-79 x -1566667-89 x -1390637-607 x -203899-2291 x -54023-2581 x -47953-7031 x -17603


How do I find the factor combinations of the number 123,766,693?

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 123,766,693, 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.

1 123,766,693
-1 -123,766,693

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 123,766,693.

Example:
1 x 123,766,693 = 123,766,693
and
-1 x -123,766,693 = 123,766,693
Notice both answers equal 123,766,693

With that explanation out of the way, let's continue. Next, we take the number 123,766,693 and divide it by 2:

123,766,693 ÷ 2 = 61,883,346.5

If the quotient is a whole number, then 2 and 61,883,346.5 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:

1 123,766,693
-1 -123,766,693

Now, we try dividing 123,766,693 by 3:

123,766,693 ÷ 3 = 41,255,564.3333

If the quotient is a whole number, then 3 and 41,255,564.3333 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:

1 123,766,693
-1 -123,766,693

Let's try dividing by 4:

123,766,693 ÷ 4 = 30,941,673.25

If the quotient is a whole number, then 4 and 30,941,673.25 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:

1 123,766,693
-1 123,766,693
Keep dividing by the next highest number until you cannot divide anymore.

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

12979896072,2912,5817,03117,60347,95354,023203,8991,390,6371,566,6674,267,817123,766,693
-1-29-79-89-607-2,291-2,581-7,031-17,603-47,953-54,023-203,899-1,390,637-1,566,667-4,267,817-123,766,693

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