Q: What are the factor combinations of the number 110,344,415?

 A:
Positive:   1 x 1103444155 x 22068883103 x 1071305167 x 660745515 x 214261835 x 1321491283 x 860056415 x 17201
Negative: -1 x -110344415-5 x -22068883-103 x -1071305-167 x -660745-515 x -214261-835 x -132149-1283 x -86005-6415 x -17201


How do I find the factor combinations of the number 110,344,415?

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 110,344,415, 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.

1 110,344,415
-1 -110,344,415

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 110,344,415.

Example:
1 x 110,344,415 = 110,344,415
and
-1 x -110,344,415 = 110,344,415
Notice both answers equal 110,344,415

With that explanation out of the way, let's continue. Next, we take the number 110,344,415 and divide it by 2:

110,344,415 ÷ 2 = 55,172,207.5

If the quotient is a whole number, then 2 and 55,172,207.5 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:

1 110,344,415
-1 -110,344,415

Now, we try dividing 110,344,415 by 3:

110,344,415 ÷ 3 = 36,781,471.6667

If the quotient is a whole number, then 3 and 36,781,471.6667 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:

1 110,344,415
-1 -110,344,415

Let's try dividing by 4:

110,344,415 ÷ 4 = 27,586,103.75

If the quotient is a whole number, then 4 and 27,586,103.75 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:

1 110,344,415
-1 110,344,415
Keep dividing by the next highest number until you cannot divide anymore.

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

151031675158351,2836,41517,20186,005132,149214,261660,7451,071,30522,068,883110,344,415
-1-5-103-167-515-835-1,283-6,415-17,201-86,005-132,149-214,261-660,745-1,071,305-22,068,883-110,344,415

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