Q: What are the factor combinations of the number 111,223,321?

 A:
Positive:   1 x 11122332111 x 1011121119 x 5853859101 x 1101221121 x 919201209 x 532169479 x 2321991111 x 1001111919 x 579592299 x 483795269 x 211099101 x 12221
Negative: -1 x -111223321-11 x -10111211-19 x -5853859-101 x -1101221-121 x -919201-209 x -532169-479 x -232199-1111 x -100111-1919 x -57959-2299 x -48379-5269 x -21109-9101 x -12221


How do I find the factor combinations of the number 111,223,321?

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 111,223,321, 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.

1 111,223,321
-1 -111,223,321

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 111,223,321.

Example:
1 x 111,223,321 = 111,223,321
and
-1 x -111,223,321 = 111,223,321
Notice both answers equal 111,223,321

With that explanation out of the way, let's continue. Next, we take the number 111,223,321 and divide it by 2:

111,223,321 ÷ 2 = 55,611,660.5

If the quotient is a whole number, then 2 and 55,611,660.5 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:

1 111,223,321
-1 -111,223,321

Now, we try dividing 111,223,321 by 3:

111,223,321 ÷ 3 = 37,074,440.3333

If the quotient is a whole number, then 3 and 37,074,440.3333 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:

1 111,223,321
-1 -111,223,321

Let's try dividing by 4:

111,223,321 ÷ 4 = 27,805,830.25

If the quotient is a whole number, then 4 and 27,805,830.25 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:

1 111,223,321
-1 111,223,321
Keep dividing by the next highest number until you cannot divide anymore.

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

111191011212094791,1111,9192,2995,2699,10112,22121,10948,37957,959100,111232,199532,169919,2011,101,2215,853,85910,111,211111,223,321
-1-11-19-101-121-209-479-1,111-1,919-2,299-5,269-9,101-12,221-21,109-48,379-57,959-100,111-232,199-532,169-919,201-1,101,221-5,853,859-10,111,211-111,223,321

More Examples

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