Q: What are the factor combinations of the number 20,443,423?

 A:
Positive:   1 x 204434237 x 292048911 x 185849313 x 157257177 x 26549991 x 224653143 x 142961169 x 1209671001 x 204231183 x 172811571 x 130131859 x 10997
Negative: -1 x -20443423-7 x -2920489-11 x -1858493-13 x -1572571-77 x -265499-91 x -224653-143 x -142961-169 x -120967-1001 x -20423-1183 x -17281-1571 x -13013-1859 x -10997


How do I find the factor combinations of the number 20,443,423?

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 20,443,423, 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 20,443,423
-1 -20,443,423

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 20,443,423.

Example:
1 x 20,443,423 = 20,443,423
and
-1 x -20,443,423 = 20,443,423
Notice both answers equal 20,443,423

With that explanation out of the way, let's continue. Next, we take the number 20,443,423 and divide it by 2:

20,443,423 ÷ 2 = 10,221,711.5

If the quotient is a whole number, then 2 and 10,221,711.5 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 20,443,423
-1 -20,443,423

Now, we try dividing 20,443,423 by 3:

20,443,423 ÷ 3 = 6,814,474.3333

If the quotient is a whole number, then 3 and 6,814,474.3333 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 20,443,423
-1 -20,443,423

Let's try dividing by 4:

20,443,423 ÷ 4 = 5,110,855.75

If the quotient is a whole number, then 4 and 5,110,855.75 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 20,443,423
-1 20,443,423
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431691,0011,1831,5711,85910,99713,01317,28120,423120,967142,961224,653265,4991,572,5711,858,4932,920,48920,443,423
-1-7-11-13-77-91-143-169-1,001-1,183-1,571-1,859-10,997-13,013-17,281-20,423-120,967-142,961-224,653-265,499-1,572,571-1,858,493-2,920,489-20,443,423

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