Q: What are the factor combinations of the number 131,262,571?

 A:
Positive:   1 x 13126257111 x 11932961107 x 1226753229 x 573199487 x 2695331177 x 1115232519 x 521095357 x 24503
Negative: -1 x -131262571-11 x -11932961-107 x -1226753-229 x -573199-487 x -269533-1177 x -111523-2519 x -52109-5357 x -24503


How do I find the factor combinations of the number 131,262,571?

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 131,262,571, 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.

1 131,262,571
-1 -131,262,571

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 131,262,571.

Example:
1 x 131,262,571 = 131,262,571
and
-1 x -131,262,571 = 131,262,571
Notice both answers equal 131,262,571

With that explanation out of the way, let's continue. Next, we take the number 131,262,571 and divide it by 2:

131,262,571 ÷ 2 = 65,631,285.5

If the quotient is a whole number, then 2 and 65,631,285.5 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:

1 131,262,571
-1 -131,262,571

Now, we try dividing 131,262,571 by 3:

131,262,571 ÷ 3 = 43,754,190.3333

If the quotient is a whole number, then 3 and 43,754,190.3333 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:

1 131,262,571
-1 -131,262,571

Let's try dividing by 4:

131,262,571 ÷ 4 = 32,815,642.75

If the quotient is a whole number, then 4 and 32,815,642.75 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:

1 131,262,571
-1 131,262,571
Keep dividing by the next highest number until you cannot divide anymore.

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

1111072294871,1772,5195,35724,50352,109111,523269,533573,1991,226,75311,932,961131,262,571
-1-11-107-229-487-1,177-2,519-5,357-24,503-52,109-111,523-269,533-573,199-1,226,753-11,932,961-131,262,571

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