Q: What are the factor combinations of the number 125,113,043?

 A:
Positive:   1 x 12511304311 x 1137391319 x 6584897101 x 1238743209 x 5986271111 x 1126131919 x 651975927 x 21109
Negative: -1 x -125113043-11 x -11373913-19 x -6584897-101 x -1238743-209 x -598627-1111 x -112613-1919 x -65197-5927 x -21109


How do I find the factor combinations of the number 125,113,043?

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 125,113,043, 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.

1 125,113,043
-1 -125,113,043

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 125,113,043.

Example:
1 x 125,113,043 = 125,113,043
and
-1 x -125,113,043 = 125,113,043
Notice both answers equal 125,113,043

With that explanation out of the way, let's continue. Next, we take the number 125,113,043 and divide it by 2:

125,113,043 ÷ 2 = 62,556,521.5

If the quotient is a whole number, then 2 and 62,556,521.5 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:

1 125,113,043
-1 -125,113,043

Now, we try dividing 125,113,043 by 3:

125,113,043 ÷ 3 = 41,704,347.6667

If the quotient is a whole number, then 3 and 41,704,347.6667 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:

1 125,113,043
-1 -125,113,043

Let's try dividing by 4:

125,113,043 ÷ 4 = 31,278,260.75

If the quotient is a whole number, then 4 and 31,278,260.75 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:

1 125,113,043
-1 125,113,043
Keep dividing by the next highest number until you cannot divide anymore.

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

111191012091,1111,9195,92721,10965,197112,613598,6271,238,7436,584,89711,373,913125,113,043
-1-11-19-101-209-1,111-1,919-5,927-21,109-65,197-112,613-598,627-1,238,743-6,584,897-11,373,913-125,113,043

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