Q: What are the factor combinations of the number 22,002,343?

 A:
Positive:   1 x 2200234311 x 200021331 x 709753113 x 194711341 x 64523571 x 385331243 x 177013503 x 6281
Negative: -1 x -22002343-11 x -2000213-31 x -709753-113 x -194711-341 x -64523-571 x -38533-1243 x -17701-3503 x -6281


How do I find the factor combinations of the number 22,002,343?

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 22,002,343, 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 22,002,343
-1 -22,002,343

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 22,002,343.

Example:
1 x 22,002,343 = 22,002,343
and
-1 x -22,002,343 = 22,002,343
Notice both answers equal 22,002,343

With that explanation out of the way, let's continue. Next, we take the number 22,002,343 and divide it by 2:

22,002,343 ÷ 2 = 11,001,171.5

If the quotient is a whole number, then 2 and 11,001,171.5 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 22,002,343
-1 -22,002,343

Now, we try dividing 22,002,343 by 3:

22,002,343 ÷ 3 = 7,334,114.3333

If the quotient is a whole number, then 3 and 7,334,114.3333 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 22,002,343
-1 -22,002,343

Let's try dividing by 4:

22,002,343 ÷ 4 = 5,500,585.75

If the quotient is a whole number, then 4 and 5,500,585.75 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 22,002,343
-1 22,002,343
Keep dividing by the next highest number until you cannot divide anymore.

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

111311133415711,2433,5036,28117,70138,53364,523194,711709,7532,000,21322,002,343
-1-11-31-113-341-571-1,243-3,503-6,281-17,701-38,533-64,523-194,711-709,753-2,000,213-22,002,343

More Examples

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