Q: What are the factor combinations of the number 220,362,445?

 A:
Positive:   1 x 2203624455 x 4407248929 x 7598705137 x 1608485145 x 1519741685 x 3216973973 x 5546511093 x 19865
Negative: -1 x -220362445-5 x -44072489-29 x -7598705-137 x -1608485-145 x -1519741-685 x -321697-3973 x -55465-11093 x -19865


How do I find the factor combinations of the number 220,362,445?

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 220,362,445, 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.

1 220,362,445
-1 -220,362,445

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 220,362,445.

Example:
1 x 220,362,445 = 220,362,445
and
-1 x -220,362,445 = 220,362,445
Notice both answers equal 220,362,445

With that explanation out of the way, let's continue. Next, we take the number 220,362,445 and divide it by 2:

220,362,445 ÷ 2 = 110,181,222.5

If the quotient is a whole number, then 2 and 110,181,222.5 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:

1 220,362,445
-1 -220,362,445

Now, we try dividing 220,362,445 by 3:

220,362,445 ÷ 3 = 73,454,148.3333

If the quotient is a whole number, then 3 and 73,454,148.3333 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:

1 220,362,445
-1 -220,362,445

Let's try dividing by 4:

220,362,445 ÷ 4 = 55,090,611.25

If the quotient is a whole number, then 4 and 55,090,611.25 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:

1 220,362,445
-1 220,362,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15291371456853,97311,09319,86555,465321,6971,519,7411,608,4857,598,70544,072,489220,362,445
-1-5-29-137-145-685-3,973-11,093-19,865-55,465-321,697-1,519,741-1,608,485-7,598,705-44,072,489-220,362,445

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