Q: What are the factor combinations of the number 131,103,005?

 A:
Positive:   1 x 1311030055 x 2622060111 x 1191845555 x 2383691419 x 3128952095 x 625794609 x 284455689 x 23045
Negative: -1 x -131103005-5 x -26220601-11 x -11918455-55 x -2383691-419 x -312895-2095 x -62579-4609 x -28445-5689 x -23045


How do I find the factor combinations of the number 131,103,005?

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 131,103,005, 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.

1 131,103,005
-1 -131,103,005

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 131,103,005.

Example:
1 x 131,103,005 = 131,103,005
and
-1 x -131,103,005 = 131,103,005
Notice both answers equal 131,103,005

With that explanation out of the way, let's continue. Next, we take the number 131,103,005 and divide it by 2:

131,103,005 ÷ 2 = 65,551,502.5

If the quotient is a whole number, then 2 and 65,551,502.5 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:

1 131,103,005
-1 -131,103,005

Now, we try dividing 131,103,005 by 3:

131,103,005 ÷ 3 = 43,701,001.6667

If the quotient is a whole number, then 3 and 43,701,001.6667 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:

1 131,103,005
-1 -131,103,005

Let's try dividing by 4:

131,103,005 ÷ 4 = 32,775,751.25

If the quotient is a whole number, then 4 and 32,775,751.25 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:

1 131,103,005
-1 131,103,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1511554192,0954,6095,68923,04528,44562,579312,8952,383,69111,918,45526,220,601131,103,005
-1-5-11-55-419-2,095-4,609-5,689-23,045-28,445-62,579-312,895-2,383,691-11,918,455-26,220,601-131,103,005

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