Q: What are the factor combinations of the number 220,033,567?

 A:
Positive:   1 x 22003356713 x 1692565917 x 1294315131 x 7097857221 x 995627403 x 545989527 x 4175216851 x 32117
Negative: -1 x -220033567-13 x -16925659-17 x -12943151-31 x -7097857-221 x -995627-403 x -545989-527 x -417521-6851 x -32117


How do I find the factor combinations of the number 220,033,567?

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 220,033,567, 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.

1 220,033,567
-1 -220,033,567

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 220,033,567.

Example:
1 x 220,033,567 = 220,033,567
and
-1 x -220,033,567 = 220,033,567
Notice both answers equal 220,033,567

With that explanation out of the way, let's continue. Next, we take the number 220,033,567 and divide it by 2:

220,033,567 ÷ 2 = 110,016,783.5

If the quotient is a whole number, then 2 and 110,016,783.5 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:

1 220,033,567
-1 -220,033,567

Now, we try dividing 220,033,567 by 3:

220,033,567 ÷ 3 = 73,344,522.3333

If the quotient is a whole number, then 3 and 73,344,522.3333 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:

1 220,033,567
-1 -220,033,567

Let's try dividing by 4:

220,033,567 ÷ 4 = 55,008,391.75

If the quotient is a whole number, then 4 and 55,008,391.75 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:

1 220,033,567
-1 220,033,567
Keep dividing by the next highest number until you cannot divide anymore.

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

11317312214035276,85132,117417,521545,989995,6277,097,85712,943,15116,925,659220,033,567
-1-13-17-31-221-403-527-6,851-32,117-417,521-545,989-995,627-7,097,857-12,943,151-16,925,659-220,033,567

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