Q: What are the factor combinations of the number 23,708,503?

 A:
Positive:   1 x 237085037 x 338692913 x 182373149 x 48384791 x 260533169 x 140287343 x 69121409 x 57967637 x 372191183 x 200412863 x 82814459 x 5317
Negative: -1 x -23708503-7 x -3386929-13 x -1823731-49 x -483847-91 x -260533-169 x -140287-343 x -69121-409 x -57967-637 x -37219-1183 x -20041-2863 x -8281-4459 x -5317


How do I find the factor combinations of the number 23,708,503?

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 23,708,503, 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 23,708,503
-1 -23,708,503

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 23,708,503.

Example:
1 x 23,708,503 = 23,708,503
and
-1 x -23,708,503 = 23,708,503
Notice both answers equal 23,708,503

With that explanation out of the way, let's continue. Next, we take the number 23,708,503 and divide it by 2:

23,708,503 ÷ 2 = 11,854,251.5

If the quotient is a whole number, then 2 and 11,854,251.5 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 23,708,503
-1 -23,708,503

Now, we try dividing 23,708,503 by 3:

23,708,503 ÷ 3 = 7,902,834.3333

If the quotient is a whole number, then 3 and 7,902,834.3333 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 23,708,503
-1 -23,708,503

Let's try dividing by 4:

23,708,503 ÷ 4 = 5,927,125.75

If the quotient is a whole number, then 4 and 5,927,125.75 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 23,708,503
-1 23,708,503
Keep dividing by the next highest number until you cannot divide anymore.

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

171349911693434096371,1832,8634,4595,3178,28120,04137,21957,96769,121140,287260,533483,8471,823,7313,386,92923,708,503
-1-7-13-49-91-169-343-409-637-1,183-2,863-4,459-5,317-8,281-20,041-37,219-57,967-69,121-140,287-260,533-483,847-1,823,731-3,386,929-23,708,503

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