Q: What are the factor combinations of the number 120,076,243?

 A:
Positive:   1 x 1200762437 x 1715374961 x 1968463179 x 670817427 x 2812091253 x 958311571 x 7643310919 x 10997
Negative: -1 x -120076243-7 x -17153749-61 x -1968463-179 x -670817-427 x -281209-1253 x -95831-1571 x -76433-10919 x -10997


How do I find the factor combinations of the number 120,076,243?

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 120,076,243, 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.

1 120,076,243
-1 -120,076,243

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 120,076,243.

Example:
1 x 120,076,243 = 120,076,243
and
-1 x -120,076,243 = 120,076,243
Notice both answers equal 120,076,243

With that explanation out of the way, let's continue. Next, we take the number 120,076,243 and divide it by 2:

120,076,243 ÷ 2 = 60,038,121.5

If the quotient is a whole number, then 2 and 60,038,121.5 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:

1 120,076,243
-1 -120,076,243

Now, we try dividing 120,076,243 by 3:

120,076,243 ÷ 3 = 40,025,414.3333

If the quotient is a whole number, then 3 and 40,025,414.3333 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:

1 120,076,243
-1 -120,076,243

Let's try dividing by 4:

120,076,243 ÷ 4 = 30,019,060.75

If the quotient is a whole number, then 4 and 30,019,060.75 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:

1 120,076,243
-1 120,076,243
Keep dividing by the next highest number until you cannot divide anymore.

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

17611794271,2531,57110,91910,99776,43395,831281,209670,8171,968,46317,153,749120,076,243
-1-7-61-179-427-1,253-1,571-10,919-10,997-76,433-95,831-281,209-670,817-1,968,463-17,153,749-120,076,243

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