Q: What are the factor combinations of the number 22,200,343?

 A:
Positive:   1 x 2220034311 x 201821359 x 37627779 x 281017433 x 51271649 x 34207869 x 255474661 x 4763
Negative: -1 x -22200343-11 x -2018213-59 x -376277-79 x -281017-433 x -51271-649 x -34207-869 x -25547-4661 x -4763


How do I find the factor combinations of the number 22,200,343?

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 22,200,343, 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 22,200,343
-1 -22,200,343

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 22,200,343.

Example:
1 x 22,200,343 = 22,200,343
and
-1 x -22,200,343 = 22,200,343
Notice both answers equal 22,200,343

With that explanation out of the way, let's continue. Next, we take the number 22,200,343 and divide it by 2:

22,200,343 ÷ 2 = 11,100,171.5

If the quotient is a whole number, then 2 and 11,100,171.5 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 22,200,343
-1 -22,200,343

Now, we try dividing 22,200,343 by 3:

22,200,343 ÷ 3 = 7,400,114.3333

If the quotient is a whole number, then 3 and 7,400,114.3333 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 22,200,343
-1 -22,200,343

Let's try dividing by 4:

22,200,343 ÷ 4 = 5,550,085.75

If the quotient is a whole number, then 4 and 5,550,085.75 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 22,200,343
-1 22,200,343
Keep dividing by the next highest number until you cannot divide anymore.

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

11159794336498694,6614,76325,54734,20751,271281,017376,2772,018,21322,200,343
-1-11-59-79-433-649-869-4,661-4,763-25,547-34,207-51,271-281,017-376,277-2,018,213-22,200,343

More Examples

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