Q: What are the factor combinations of the number 68,550,085?

 A:
Positive:   1 x 685500855 x 1371001737 x 1852705107 x 640655185 x 370541535 x 1281313463 x 197953959 x 17315
Negative: -1 x -68550085-5 x -13710017-37 x -1852705-107 x -640655-185 x -370541-535 x -128131-3463 x -19795-3959 x -17315


How do I find the factor combinations of the number 68,550,085?

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 68,550,085, 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 68,550,085
-1 -68,550,085

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 68,550,085.

Example:
1 x 68,550,085 = 68,550,085
and
-1 x -68,550,085 = 68,550,085
Notice both answers equal 68,550,085

With that explanation out of the way, let's continue. Next, we take the number 68,550,085 and divide it by 2:

68,550,085 ÷ 2 = 34,275,042.5

If the quotient is a whole number, then 2 and 34,275,042.5 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 68,550,085
-1 -68,550,085

Now, we try dividing 68,550,085 by 3:

68,550,085 ÷ 3 = 22,850,028.3333

If the quotient is a whole number, then 3 and 22,850,028.3333 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 68,550,085
-1 -68,550,085

Let's try dividing by 4:

68,550,085 ÷ 4 = 17,137,521.25

If the quotient is a whole number, then 4 and 17,137,521.25 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 68,550,085
-1 68,550,085
Keep dividing by the next highest number until you cannot divide anymore.

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

15371071855353,4633,95917,31519,795128,131370,541640,6551,852,70513,710,01768,550,085
-1-5-37-107-185-535-3,463-3,959-17,315-19,795-128,131-370,541-640,655-1,852,705-13,710,017-68,550,085

More Examples

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