Q: What are the factor combinations of the number 44,331,143?

 A:
Positive:   1 x 4433114323 x 192744137 x 1198139113 x 392311461 x 96163851 x 520932599 x 170574181 x 10603
Negative: -1 x -44331143-23 x -1927441-37 x -1198139-113 x -392311-461 x -96163-851 x -52093-2599 x -17057-4181 x -10603


How do I find the factor combinations of the number 44,331,143?

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 44,331,143, 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 44,331,143
-1 -44,331,143

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 44,331,143.

Example:
1 x 44,331,143 = 44,331,143
and
-1 x -44,331,143 = 44,331,143
Notice both answers equal 44,331,143

With that explanation out of the way, let's continue. Next, we take the number 44,331,143 and divide it by 2:

44,331,143 ÷ 2 = 22,165,571.5

If the quotient is a whole number, then 2 and 22,165,571.5 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 44,331,143
-1 -44,331,143

Now, we try dividing 44,331,143 by 3:

44,331,143 ÷ 3 = 14,777,047.6667

If the quotient is a whole number, then 3 and 14,777,047.6667 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 44,331,143
-1 -44,331,143

Let's try dividing by 4:

44,331,143 ÷ 4 = 11,082,785.75

If the quotient is a whole number, then 4 and 11,082,785.75 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 44,331,143
-1 44,331,143
Keep dividing by the next highest number until you cannot divide anymore.

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

123371134618512,5994,18110,60317,05752,09396,163392,3111,198,1391,927,44144,331,143
-1-23-37-113-461-851-2,599-4,181-10,603-17,057-52,093-96,163-392,311-1,198,139-1,927,441-44,331,143

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