Q: What are the factor combinations of the number 220,075,265?

 A:
Positive:   1 x 2200752655 x 44015053163 x 1350155815 x 270031
Negative: -1 x -220075265-5 x -44015053-163 x -1350155-815 x -270031


How do I find the factor combinations of the number 220,075,265?

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 220,075,265, 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.

1 220,075,265
-1 -220,075,265

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 220,075,265.

Example:
1 x 220,075,265 = 220,075,265
and
-1 x -220,075,265 = 220,075,265
Notice both answers equal 220,075,265

With that explanation out of the way, let's continue. Next, we take the number 220,075,265 and divide it by 2:

220,075,265 ÷ 2 = 110,037,632.5

If the quotient is a whole number, then 2 and 110,037,632.5 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:

1 220,075,265
-1 -220,075,265

Now, we try dividing 220,075,265 by 3:

220,075,265 ÷ 3 = 73,358,421.6667

If the quotient is a whole number, then 3 and 73,358,421.6667 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:

1 220,075,265
-1 -220,075,265

Let's try dividing by 4:

220,075,265 ÷ 4 = 55,018,816.25

If the quotient is a whole number, then 4 and 55,018,816.25 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:

1 220,075,265
-1 220,075,265
Keep dividing by the next highest number until you cannot divide anymore.

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

15163815270,0311,350,15544,015,053220,075,265
-1-5-163-815-270,031-1,350,155-44,015,053-220,075,265

More Examples

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