Q: What are the factor combinations of the number 22,300,243?

 A:
Positive:   1 x 223002437 x 318574917 x 131177919 x 117369749 x 455107119 x 187397133 x 167671323 x 69041833 x 26771931 x 239531409 x 158272261 x 9863
Negative: -1 x -22300243-7 x -3185749-17 x -1311779-19 x -1173697-49 x -455107-119 x -187397-133 x -167671-323 x -69041-833 x -26771-931 x -23953-1409 x -15827-2261 x -9863


How do I find the factor combinations of the number 22,300,243?

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 22,300,243, 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 22,300,243
-1 -22,300,243

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 22,300,243.

Example:
1 x 22,300,243 = 22,300,243
and
-1 x -22,300,243 = 22,300,243
Notice both answers equal 22,300,243

With that explanation out of the way, let's continue. Next, we take the number 22,300,243 and divide it by 2:

22,300,243 ÷ 2 = 11,150,121.5

If the quotient is a whole number, then 2 and 11,150,121.5 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 22,300,243
-1 -22,300,243

Now, we try dividing 22,300,243 by 3:

22,300,243 ÷ 3 = 7,433,414.3333

If the quotient is a whole number, then 3 and 7,433,414.3333 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 22,300,243
-1 -22,300,243

Let's try dividing by 4:

22,300,243 ÷ 4 = 5,575,060.75

If the quotient is a whole number, then 4 and 5,575,060.75 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 22,300,243
-1 22,300,243
Keep dividing by the next highest number until you cannot divide anymore.

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

171719491191333238339311,4092,2619,86315,82723,95326,77169,041167,671187,397455,1071,173,6971,311,7793,185,74922,300,243
-1-7-17-19-49-119-133-323-833-931-1,409-2,261-9,863-15,827-23,953-26,771-69,041-167,671-187,397-455,107-1,173,697-1,311,779-3,185,749-22,300,243

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