Q: What are the factor combinations of the number 36,000,223?

 A:
Positive:   1 x 360002237 x 514288929 x 124138737 x 972979203 x 177341259 x 1389971073 x 335514793 x 7511
Negative: -1 x -36000223-7 x -5142889-29 x -1241387-37 x -972979-203 x -177341-259 x -138997-1073 x -33551-4793 x -7511


How do I find the factor combinations of the number 36,000,223?

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 36,000,223, 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 36,000,223
-1 -36,000,223

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 36,000,223.

Example:
1 x 36,000,223 = 36,000,223
and
-1 x -36,000,223 = 36,000,223
Notice both answers equal 36,000,223

With that explanation out of the way, let's continue. Next, we take the number 36,000,223 and divide it by 2:

36,000,223 ÷ 2 = 18,000,111.5

If the quotient is a whole number, then 2 and 18,000,111.5 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 36,000,223
-1 -36,000,223

Now, we try dividing 36,000,223 by 3:

36,000,223 ÷ 3 = 12,000,074.3333

If the quotient is a whole number, then 3 and 12,000,074.3333 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 36,000,223
-1 -36,000,223

Let's try dividing by 4:

36,000,223 ÷ 4 = 9,000,055.75

If the quotient is a whole number, then 4 and 9,000,055.75 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 36,000,223
-1 36,000,223
Keep dividing by the next highest number until you cannot divide anymore.

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

1729372032591,0734,7937,51133,551138,997177,341972,9791,241,3875,142,88936,000,223
-1-7-29-37-203-259-1,073-4,793-7,511-33,551-138,997-177,341-972,979-1,241,387-5,142,889-36,000,223

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