Q: What are the factor combinations of the number 124,845,775?

 A:
Positive:   1 x 1248457755 x 2496915525 x 4993831163 x 765925815 x 1531854075 x 30637
Negative: -1 x -124845775-5 x -24969155-25 x -4993831-163 x -765925-815 x -153185-4075 x -30637


How do I find the factor combinations of the number 124,845,775?

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 124,845,775, 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.

1 124,845,775
-1 -124,845,775

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 124,845,775.

Example:
1 x 124,845,775 = 124,845,775
and
-1 x -124,845,775 = 124,845,775
Notice both answers equal 124,845,775

With that explanation out of the way, let's continue. Next, we take the number 124,845,775 and divide it by 2:

124,845,775 ÷ 2 = 62,422,887.5

If the quotient is a whole number, then 2 and 62,422,887.5 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:

1 124,845,775
-1 -124,845,775

Now, we try dividing 124,845,775 by 3:

124,845,775 ÷ 3 = 41,615,258.3333

If the quotient is a whole number, then 3 and 41,615,258.3333 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:

1 124,845,775
-1 -124,845,775

Let's try dividing by 4:

124,845,775 ÷ 4 = 31,211,443.75

If the quotient is a whole number, then 4 and 31,211,443.75 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:

1 124,845,775
-1 124,845,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15251638154,07530,637153,185765,9254,993,83124,969,155124,845,775
-1-5-25-163-815-4,075-30,637-153,185-765,925-4,993,831-24,969,155-124,845,775

More Examples

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