Q: What are the factor combinations of the number 21,103,243?

 A:
Positive:   1 x 211032437 x 301474919 x 1110697101 x 208943133 x 158671707 x 298491571 x 134331919 x 10997
Negative: -1 x -21103243-7 x -3014749-19 x -1110697-101 x -208943-133 x -158671-707 x -29849-1571 x -13433-1919 x -10997


How do I find the factor combinations of the number 21,103,243?

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 21,103,243, 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 21,103,243
-1 -21,103,243

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 21,103,243.

Example:
1 x 21,103,243 = 21,103,243
and
-1 x -21,103,243 = 21,103,243
Notice both answers equal 21,103,243

With that explanation out of the way, let's continue. Next, we take the number 21,103,243 and divide it by 2:

21,103,243 ÷ 2 = 10,551,621.5

If the quotient is a whole number, then 2 and 10,551,621.5 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 21,103,243
-1 -21,103,243

Now, we try dividing 21,103,243 by 3:

21,103,243 ÷ 3 = 7,034,414.3333

If the quotient is a whole number, then 3 and 7,034,414.3333 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 21,103,243
-1 -21,103,243

Let's try dividing by 4:

21,103,243 ÷ 4 = 5,275,810.75

If the quotient is a whole number, then 4 and 5,275,810.75 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 21,103,243
-1 21,103,243
Keep dividing by the next highest number until you cannot divide anymore.

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

17191011337071,5711,91910,99713,43329,849158,671208,9431,110,6973,014,74921,103,243
-1-7-19-101-133-707-1,571-1,919-10,997-13,433-29,849-158,671-208,943-1,110,697-3,014,749-21,103,243

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