Q: What are the factor combinations of the number 131,240,021?

 A:
Positive:   1 x 13124002111 x 1193091171 x 1848451197 x 666193781 x 168041853 x 1538572167 x 605639383 x 13987
Negative: -1 x -131240021-11 x -11930911-71 x -1848451-197 x -666193-781 x -168041-853 x -153857-2167 x -60563-9383 x -13987


How do I find the factor combinations of the number 131,240,021?

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 131,240,021, 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.

1 131,240,021
-1 -131,240,021

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 131,240,021.

Example:
1 x 131,240,021 = 131,240,021
and
-1 x -131,240,021 = 131,240,021
Notice both answers equal 131,240,021

With that explanation out of the way, let's continue. Next, we take the number 131,240,021 and divide it by 2:

131,240,021 ÷ 2 = 65,620,010.5

If the quotient is a whole number, then 2 and 65,620,010.5 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:

1 131,240,021
-1 -131,240,021

Now, we try dividing 131,240,021 by 3:

131,240,021 ÷ 3 = 43,746,673.6667

If the quotient is a whole number, then 3 and 43,746,673.6667 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:

1 131,240,021
-1 -131,240,021

Let's try dividing by 4:

131,240,021 ÷ 4 = 32,810,005.25

If the quotient is a whole number, then 4 and 32,810,005.25 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:

1 131,240,021
-1 131,240,021
Keep dividing by the next highest number until you cannot divide anymore.

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

111711977818532,1679,38313,98760,563153,857168,041666,1931,848,45111,930,911131,240,021
-1-11-71-197-781-853-2,167-9,383-13,987-60,563-153,857-168,041-666,193-1,848,451-11,930,911-131,240,021

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