Q: What are the factor combinations of the number 123,443,255?

 A:
Positive:   1 x 1234432555 x 2468865113 x 949563565 x 1899127151 x 817505755 x 1635011963 x 628859815 x 12577
Negative: -1 x -123443255-5 x -24688651-13 x -9495635-65 x -1899127-151 x -817505-755 x -163501-1963 x -62885-9815 x -12577


How do I find the factor combinations of the number 123,443,255?

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 123,443,255, 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.

1 123,443,255
-1 -123,443,255

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 123,443,255.

Example:
1 x 123,443,255 = 123,443,255
and
-1 x -123,443,255 = 123,443,255
Notice both answers equal 123,443,255

With that explanation out of the way, let's continue. Next, we take the number 123,443,255 and divide it by 2:

123,443,255 ÷ 2 = 61,721,627.5

If the quotient is a whole number, then 2 and 61,721,627.5 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:

1 123,443,255
-1 -123,443,255

Now, we try dividing 123,443,255 by 3:

123,443,255 ÷ 3 = 41,147,751.6667

If the quotient is a whole number, then 3 and 41,147,751.6667 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:

1 123,443,255
-1 -123,443,255

Let's try dividing by 4:

123,443,255 ÷ 4 = 30,860,813.75

If the quotient is a whole number, then 4 and 30,860,813.75 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:

1 123,443,255
-1 123,443,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651517551,9639,81512,57762,885163,501817,5051,899,1279,495,63524,688,651123,443,255
-1-5-13-65-151-755-1,963-9,815-12,577-62,885-163,501-817,505-1,899,127-9,495,635-24,688,651-123,443,255

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