Q: What are the factor combinations of the number 109,092,865?

 A:
Positive:   1 x 1090928655 x 218185737 x 1558469535 x 311693949 x 2226385245 x 445277343 x 3180551715 x 63611
Negative: -1 x -109092865-5 x -21818573-7 x -15584695-35 x -3116939-49 x -2226385-245 x -445277-343 x -318055-1715 x -63611


How do I find the factor combinations of the number 109,092,865?

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 109,092,865, 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.

1 109,092,865
-1 -109,092,865

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 109,092,865.

Example:
1 x 109,092,865 = 109,092,865
and
-1 x -109,092,865 = 109,092,865
Notice both answers equal 109,092,865

With that explanation out of the way, let's continue. Next, we take the number 109,092,865 and divide it by 2:

109,092,865 ÷ 2 = 54,546,432.5

If the quotient is a whole number, then 2 and 54,546,432.5 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:

1 109,092,865
-1 -109,092,865

Now, we try dividing 109,092,865 by 3:

109,092,865 ÷ 3 = 36,364,288.3333

If the quotient is a whole number, then 3 and 36,364,288.3333 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:

1 109,092,865
-1 -109,092,865

Let's try dividing by 4:

109,092,865 ÷ 4 = 27,273,216.25

If the quotient is a whole number, then 4 and 27,273,216.25 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:

1 109,092,865
-1 109,092,865
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453431,71563,611318,055445,2772,226,3853,116,93915,584,69521,818,573109,092,865
-1-5-7-35-49-245-343-1,715-63,611-318,055-445,277-2,226,385-3,116,939-15,584,695-21,818,573-109,092,865

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