Q: What are the factor combinations of the number 118,422,883?

 A:
Positive:   1 x 11842288323 x 514882131 x 382009341 x 2888363713 x 166091943 x 1255811271 x 931734051 x 29233
Negative: -1 x -118422883-23 x -5148821-31 x -3820093-41 x -2888363-713 x -166091-943 x -125581-1271 x -93173-4051 x -29233


How do I find the factor combinations of the number 118,422,883?

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 118,422,883, 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.

1 118,422,883
-1 -118,422,883

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 118,422,883.

Example:
1 x 118,422,883 = 118,422,883
and
-1 x -118,422,883 = 118,422,883
Notice both answers equal 118,422,883

With that explanation out of the way, let's continue. Next, we take the number 118,422,883 and divide it by 2:

118,422,883 ÷ 2 = 59,211,441.5

If the quotient is a whole number, then 2 and 59,211,441.5 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:

1 118,422,883
-1 -118,422,883

Now, we try dividing 118,422,883 by 3:

118,422,883 ÷ 3 = 39,474,294.3333

If the quotient is a whole number, then 3 and 39,474,294.3333 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:

1 118,422,883
-1 -118,422,883

Let's try dividing by 4:

118,422,883 ÷ 4 = 29,605,720.75

If the quotient is a whole number, then 4 and 29,605,720.75 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:

1 118,422,883
-1 118,422,883
Keep dividing by the next highest number until you cannot divide anymore.

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

12331417139431,2714,05129,23393,173125,581166,0912,888,3633,820,0935,148,821118,422,883
-1-23-31-41-713-943-1,271-4,051-29,233-93,173-125,581-166,091-2,888,363-3,820,093-5,148,821-118,422,883

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