Q: What are the factor combinations of the number 220,344,505?

 A:
Positive:   1 x 2203445055 x 4406890161 x 3612205305 x 722441449 x 4907451609 x 1369452245 x 981498045 x 27389
Negative: -1 x -220344505-5 x -44068901-61 x -3612205-305 x -722441-449 x -490745-1609 x -136945-2245 x -98149-8045 x -27389


How do I find the factor combinations of the number 220,344,505?

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 220,344,505, 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.

1 220,344,505
-1 -220,344,505

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 220,344,505.

Example:
1 x 220,344,505 = 220,344,505
and
-1 x -220,344,505 = 220,344,505
Notice both answers equal 220,344,505

With that explanation out of the way, let's continue. Next, we take the number 220,344,505 and divide it by 2:

220,344,505 ÷ 2 = 110,172,252.5

If the quotient is a whole number, then 2 and 110,172,252.5 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:

1 220,344,505
-1 -220,344,505

Now, we try dividing 220,344,505 by 3:

220,344,505 ÷ 3 = 73,448,168.3333

If the quotient is a whole number, then 3 and 73,448,168.3333 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:

1 220,344,505
-1 -220,344,505

Let's try dividing by 4:

220,344,505 ÷ 4 = 55,086,126.25

If the quotient is a whole number, then 4 and 55,086,126.25 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:

1 220,344,505
-1 220,344,505
Keep dividing by the next highest number until you cannot divide anymore.

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

15613054491,6092,2458,04527,38998,149136,945490,745722,4413,612,20544,068,901220,344,505
-1-5-61-305-449-1,609-2,245-8,045-27,389-98,149-136,945-490,745-722,441-3,612,205-44,068,901-220,344,505

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