Q: What are the factor combinations of the number 221,550,355?

 A:
Positive:   1 x 2215503555 x 4431007113 x 1704233519 x 1166054565 x 340846795 x 2332109247 x 8969651235 x 179393
Negative: -1 x -221550355-5 x -44310071-13 x -17042335-19 x -11660545-65 x -3408467-95 x -2332109-247 x -896965-1235 x -179393


How do I find the factor combinations of the number 221,550,355?

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 221,550,355, 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.

1 221,550,355
-1 -221,550,355

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 221,550,355.

Example:
1 x 221,550,355 = 221,550,355
and
-1 x -221,550,355 = 221,550,355
Notice both answers equal 221,550,355

With that explanation out of the way, let's continue. Next, we take the number 221,550,355 and divide it by 2:

221,550,355 ÷ 2 = 110,775,177.5

If the quotient is a whole number, then 2 and 110,775,177.5 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:

1 221,550,355
-1 -221,550,355

Now, we try dividing 221,550,355 by 3:

221,550,355 ÷ 3 = 73,850,118.3333

If the quotient is a whole number, then 3 and 73,850,118.3333 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:

1 221,550,355
-1 -221,550,355

Let's try dividing by 4:

221,550,355 ÷ 4 = 55,387,588.75

If the quotient is a whole number, then 4 and 55,387,588.75 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:

1 221,550,355
-1 221,550,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952471,235179,393896,9652,332,1093,408,46711,660,54517,042,33544,310,071221,550,355
-1-5-13-19-65-95-247-1,235-179,393-896,965-2,332,109-3,408,467-11,660,545-17,042,335-44,310,071-221,550,355

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