Q: What are the factor combinations of the number 12,550,775?

 A:
Positive:   1 x 125507755 x 251015525 x 50203159 x 21272567 x 187325127 x 98825295 x 42545335 x 37465635 x 197651475 x 85091675 x 74933175 x 3953
Negative: -1 x -12550775-5 x -2510155-25 x -502031-59 x -212725-67 x -187325-127 x -98825-295 x -42545-335 x -37465-635 x -19765-1475 x -8509-1675 x -7493-3175 x -3953


How do I find the factor combinations of the number 12,550,775?

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 12,550,775, 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 12,550,775
-1 -12,550,775

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 12,550,775.

Example:
1 x 12,550,775 = 12,550,775
and
-1 x -12,550,775 = 12,550,775
Notice both answers equal 12,550,775

With that explanation out of the way, let's continue. Next, we take the number 12,550,775 and divide it by 2:

12,550,775 ÷ 2 = 6,275,387.5

If the quotient is a whole number, then 2 and 6,275,387.5 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 12,550,775
-1 -12,550,775

Now, we try dividing 12,550,775 by 3:

12,550,775 ÷ 3 = 4,183,591.6667

If the quotient is a whole number, then 3 and 4,183,591.6667 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 12,550,775
-1 -12,550,775

Let's try dividing by 4:

12,550,775 ÷ 4 = 3,137,693.75

If the quotient is a whole number, then 4 and 3,137,693.75 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 12,550,775
-1 12,550,775
Keep dividing by the next highest number until you cannot divide anymore.

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

152559671272953356351,4751,6753,1753,9537,4938,50919,76537,46542,54598,825187,325212,725502,0312,510,15512,550,775
-1-5-25-59-67-127-295-335-635-1,475-1,675-3,175-3,953-7,493-8,509-19,765-37,465-42,545-98,825-187,325-212,725-502,031-2,510,155-12,550,775

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