Q: What are the factor combinations of the number 220,200,235?

 A:
Positive:   1 x 2202002355 x 4404004717 x 1295295585 x 2590591223 x 9874451115 x 1974893791 x 5808511617 x 18955
Negative: -1 x -220200235-5 x -44040047-17 x -12952955-85 x -2590591-223 x -987445-1115 x -197489-3791 x -58085-11617 x -18955


How do I find the factor combinations of the number 220,200,235?

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 220,200,235, 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.

1 220,200,235
-1 -220,200,235

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 220,200,235.

Example:
1 x 220,200,235 = 220,200,235
and
-1 x -220,200,235 = 220,200,235
Notice both answers equal 220,200,235

With that explanation out of the way, let's continue. Next, we take the number 220,200,235 and divide it by 2:

220,200,235 ÷ 2 = 110,100,117.5

If the quotient is a whole number, then 2 and 110,100,117.5 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:

1 220,200,235
-1 -220,200,235

Now, we try dividing 220,200,235 by 3:

220,200,235 ÷ 3 = 73,400,078.3333

If the quotient is a whole number, then 3 and 73,400,078.3333 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:

1 220,200,235
-1 -220,200,235

Let's try dividing by 4:

220,200,235 ÷ 4 = 55,050,058.75

If the quotient is a whole number, then 4 and 55,050,058.75 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:

1 220,200,235
-1 220,200,235
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852231,1153,79111,61718,95558,085197,489987,4452,590,59112,952,95544,040,047220,200,235
-1-5-17-85-223-1,115-3,791-11,617-18,955-58,085-197,489-987,445-2,590,591-12,952,955-44,040,047-220,200,235

More Examples

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