Q: What are the factor combinations of the number 110,075?

 A:
Positive:   1 x 1100755 x 220157 x 1572517 x 647525 x 440335 x 314537 x 297585 x 1295119 x 925175 x 629185 x 595259 x 425
Negative: -1 x -110075-5 x -22015-7 x -15725-17 x -6475-25 x -4403-35 x -3145-37 x -2975-85 x -1295-119 x -925-175 x -629-185 x -595-259 x -425


How do I find the factor combinations of the number 110,075?

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 110,075, 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.

1 110,075
-1 -110,075

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 110,075.

Example:
1 x 110,075 = 110,075
and
-1 x -110,075 = 110,075
Notice both answers equal 110,075

With that explanation out of the way, let's continue. Next, we take the number 110,075 and divide it by 2:

110,075 ÷ 2 = 55,037.5

If the quotient is a whole number, then 2 and 55,037.5 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:

1 110,075
-1 -110,075

Now, we try dividing 110,075 by 3:

110,075 ÷ 3 = 36,691.6667

If the quotient is a whole number, then 3 and 36,691.6667 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:

1 110,075
-1 -110,075

Let's try dividing by 4:

110,075 ÷ 4 = 27,518.75

If the quotient is a whole number, then 4 and 27,518.75 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:

1 110,075
-1 110,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15717253537851191751852594255956299251,2952,9753,1454,4036,47515,72522,015110,075
-1-5-7-17-25-35-37-85-119-175-185-259-425-595-629-925-1,295-2,975-3,145-4,403-6,475-15,725-22,015-110,075

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