Q: What are the factor combinations of the number 12,320,563?

 A:
Positive:   1 x 1232056317 x 72473929 x 42484767 x 183889373 x 33031493 x 249911139 x 108171943 x 6341
Negative: -1 x -12320563-17 x -724739-29 x -424847-67 x -183889-373 x -33031-493 x -24991-1139 x -10817-1943 x -6341


How do I find the factor combinations of the number 12,320,563?

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 12,320,563, 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 12,320,563
-1 -12,320,563

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 12,320,563.

Example:
1 x 12,320,563 = 12,320,563
and
-1 x -12,320,563 = 12,320,563
Notice both answers equal 12,320,563

With that explanation out of the way, let's continue. Next, we take the number 12,320,563 and divide it by 2:

12,320,563 ÷ 2 = 6,160,281.5

If the quotient is a whole number, then 2 and 6,160,281.5 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 12,320,563
-1 -12,320,563

Now, we try dividing 12,320,563 by 3:

12,320,563 ÷ 3 = 4,106,854.3333

If the quotient is a whole number, then 3 and 4,106,854.3333 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 12,320,563
-1 -12,320,563

Let's try dividing by 4:

12,320,563 ÷ 4 = 3,080,140.75

If the quotient is a whole number, then 4 and 3,080,140.75 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 12,320,563
-1 12,320,563
Keep dividing by the next highest number until you cannot divide anymore.

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

11729673734931,1391,9436,34110,81724,99133,031183,889424,847724,73912,320,563
-1-17-29-67-373-493-1,139-1,943-6,341-10,817-24,991-33,031-183,889-424,847-724,739-12,320,563

More Examples

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