Q: What are the factor combinations of the number 110,567,015?

 A:
Positive:   1 x 1105670155 x 2211340313 x 850515565 x 1701031409 x 2703352045 x 540674159 x 265855317 x 20795
Negative: -1 x -110567015-5 x -22113403-13 x -8505155-65 x -1701031-409 x -270335-2045 x -54067-4159 x -26585-5317 x -20795


How do I find the factor combinations of the number 110,567,015?

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 110,567,015, 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.

1 110,567,015
-1 -110,567,015

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 110,567,015.

Example:
1 x 110,567,015 = 110,567,015
and
-1 x -110,567,015 = 110,567,015
Notice both answers equal 110,567,015

With that explanation out of the way, let's continue. Next, we take the number 110,567,015 and divide it by 2:

110,567,015 ÷ 2 = 55,283,507.5

If the quotient is a whole number, then 2 and 55,283,507.5 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:

1 110,567,015
-1 -110,567,015

Now, we try dividing 110,567,015 by 3:

110,567,015 ÷ 3 = 36,855,671.6667

If the quotient is a whole number, then 3 and 36,855,671.6667 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:

1 110,567,015
-1 -110,567,015

Let's try dividing by 4:

110,567,015 ÷ 4 = 27,641,753.75

If the quotient is a whole number, then 4 and 27,641,753.75 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:

1 110,567,015
-1 110,567,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513654092,0454,1595,31720,79526,58554,067270,3351,701,0318,505,15522,113,403110,567,015
-1-5-13-65-409-2,045-4,159-5,317-20,795-26,585-54,067-270,335-1,701,031-8,505,155-22,113,403-110,567,015

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