Q: What are the factor combinations of the number 223,550,033?

 A:
Positive:   1 x 2235500337 x 31935719199 x 11233671393 x 160481
Negative: -1 x -223550033-7 x -31935719-199 x -1123367-1393 x -160481


How do I find the factor combinations of the number 223,550,033?

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 223,550,033, 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.

1 223,550,033
-1 -223,550,033

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 223,550,033.

Example:
1 x 223,550,033 = 223,550,033
and
-1 x -223,550,033 = 223,550,033
Notice both answers equal 223,550,033

With that explanation out of the way, let's continue. Next, we take the number 223,550,033 and divide it by 2:

223,550,033 ÷ 2 = 111,775,016.5

If the quotient is a whole number, then 2 and 111,775,016.5 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:

1 223,550,033
-1 -223,550,033

Now, we try dividing 223,550,033 by 3:

223,550,033 ÷ 3 = 74,516,677.6667

If the quotient is a whole number, then 3 and 74,516,677.6667 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:

1 223,550,033
-1 -223,550,033

Let's try dividing by 4:

223,550,033 ÷ 4 = 55,887,508.25

If the quotient is a whole number, then 4 and 55,887,508.25 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:

1 223,550,033
-1 223,550,033
Keep dividing by the next highest number until you cannot divide anymore.

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

171991,393160,4811,123,36731,935,719223,550,033
-1-7-199-1,393-160,481-1,123,367-31,935,719-223,550,033

More Examples

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