Q: What are the factor combinations of the number 220,313,015?

 A:
Positive:   1 x 2203130155 x 4406260313 x 1694715565 x 3389431509 x 4328352545 x 865676617 x 332956659 x 33085
Negative: -1 x -220313015-5 x -44062603-13 x -16947155-65 x -3389431-509 x -432835-2545 x -86567-6617 x -33295-6659 x -33085


How do I find the factor combinations of the number 220,313,015?

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 220,313,015, 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.

1 220,313,015
-1 -220,313,015

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 220,313,015.

Example:
1 x 220,313,015 = 220,313,015
and
-1 x -220,313,015 = 220,313,015
Notice both answers equal 220,313,015

With that explanation out of the way, let's continue. Next, we take the number 220,313,015 and divide it by 2:

220,313,015 ÷ 2 = 110,156,507.5

If the quotient is a whole number, then 2 and 110,156,507.5 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:

1 220,313,015
-1 -220,313,015

Now, we try dividing 220,313,015 by 3:

220,313,015 ÷ 3 = 73,437,671.6667

If the quotient is a whole number, then 3 and 73,437,671.6667 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:

1 220,313,015
-1 -220,313,015

Let's try dividing by 4:

220,313,015 ÷ 4 = 55,078,253.75

If the quotient is a whole number, then 4 and 55,078,253.75 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:

1 220,313,015
-1 220,313,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513655092,5456,6176,65933,08533,29586,567432,8353,389,43116,947,15544,062,603220,313,015
-1-5-13-65-509-2,545-6,617-6,659-33,085-33,295-86,567-432,835-3,389,431-16,947,155-44,062,603-220,313,015

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