Q: What are the factor combinations of the number 220,030,213?

 A:
Positive:   1 x 22003021313 x 1692540123 x 9566531299 x 735887761 x 289133967 x 2275399893 x 2224112571 x 17503
Negative: -1 x -220030213-13 x -16925401-23 x -9566531-299 x -735887-761 x -289133-967 x -227539-9893 x -22241-12571 x -17503


How do I find the factor combinations of the number 220,030,213?

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 220,030,213, 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.

1 220,030,213
-1 -220,030,213

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 220,030,213.

Example:
1 x 220,030,213 = 220,030,213
and
-1 x -220,030,213 = 220,030,213
Notice both answers equal 220,030,213

With that explanation out of the way, let's continue. Next, we take the number 220,030,213 and divide it by 2:

220,030,213 ÷ 2 = 110,015,106.5

If the quotient is a whole number, then 2 and 110,015,106.5 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:

1 220,030,213
-1 -220,030,213

Now, we try dividing 220,030,213 by 3:

220,030,213 ÷ 3 = 73,343,404.3333

If the quotient is a whole number, then 3 and 73,343,404.3333 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:

1 220,030,213
-1 -220,030,213

Let's try dividing by 4:

220,030,213 ÷ 4 = 55,007,553.25

If the quotient is a whole number, then 4 and 55,007,553.25 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:

1 220,030,213
-1 220,030,213
Keep dividing by the next highest number until you cannot divide anymore.

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

113232997619679,89312,57117,50322,241227,539289,133735,8879,566,53116,925,401220,030,213
-1-13-23-299-761-967-9,893-12,571-17,503-22,241-227,539-289,133-735,887-9,566,531-16,925,401-220,030,213

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