Q: What are the factor combinations of the number 330,000,223?

 A:
Positive:   1 x 3300002237 x 4714288973 x 4520551271 x 1217713511 x 6457931897 x 1739592383 x 13848116681 x 19783
Negative: -1 x -330000223-7 x -47142889-73 x -4520551-271 x -1217713-511 x -645793-1897 x -173959-2383 x -138481-16681 x -19783


How do I find the factor combinations of the number 330,000,223?

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 330,000,223, 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.

1 330,000,223
-1 -330,000,223

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 330,000,223.

Example:
1 x 330,000,223 = 330,000,223
and
-1 x -330,000,223 = 330,000,223
Notice both answers equal 330,000,223

With that explanation out of the way, let's continue. Next, we take the number 330,000,223 and divide it by 2:

330,000,223 ÷ 2 = 165,000,111.5

If the quotient is a whole number, then 2 and 165,000,111.5 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:

1 330,000,223
-1 -330,000,223

Now, we try dividing 330,000,223 by 3:

330,000,223 ÷ 3 = 110,000,074.3333

If the quotient is a whole number, then 3 and 110,000,074.3333 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:

1 330,000,223
-1 -330,000,223

Let's try dividing by 4:

330,000,223 ÷ 4 = 82,500,055.75

If the quotient is a whole number, then 4 and 82,500,055.75 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:

1 330,000,223
-1 330,000,223
Keep dividing by the next highest number until you cannot divide anymore.

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

17732715111,8972,38316,68119,783138,481173,959645,7931,217,7134,520,55147,142,889330,000,223
-1-7-73-271-511-1,897-2,383-16,681-19,783-138,481-173,959-645,793-1,217,713-4,520,551-47,142,889-330,000,223

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