Q: What are the factor combinations of the number 443,120,125?

 A:
Positive:   1 x 4431201255 x 886240257 x 6330287525 x 1772480535 x 12660575125 x 3544961175 x 2532115875 x 506423
Negative: -1 x -443120125-5 x -88624025-7 x -63302875-25 x -17724805-35 x -12660575-125 x -3544961-175 x -2532115-875 x -506423


How do I find the factor combinations of the number 443,120,125?

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 443,120,125, 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.

1 443,120,125
-1 -443,120,125

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 443,120,125.

Example:
1 x 443,120,125 = 443,120,125
and
-1 x -443,120,125 = 443,120,125
Notice both answers equal 443,120,125

With that explanation out of the way, let's continue. Next, we take the number 443,120,125 and divide it by 2:

443,120,125 ÷ 2 = 221,560,062.5

If the quotient is a whole number, then 2 and 221,560,062.5 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:

1 443,120,125
-1 -443,120,125

Now, we try dividing 443,120,125 by 3:

443,120,125 ÷ 3 = 147,706,708.3333

If the quotient is a whole number, then 3 and 147,706,708.3333 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:

1 443,120,125
-1 -443,120,125

Let's try dividing by 4:

443,120,125 ÷ 4 = 110,780,031.25

If the quotient is a whole number, then 4 and 110,780,031.25 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:

1 443,120,125
-1 443,120,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535125175875506,4232,532,1153,544,96112,660,57517,724,80563,302,87588,624,025443,120,125
-1-5-7-25-35-125-175-875-506,423-2,532,115-3,544,961-12,660,575-17,724,805-63,302,875-88,624,025-443,120,125

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