Q: What are the factor combinations of the number 131,422,415?

 A:
Positive:   1 x 1314224155 x 26284483139 x 945485263 x 499705695 x 189097719 x 1827851315 x 999413595 x 36557
Negative: -1 x -131422415-5 x -26284483-139 x -945485-263 x -499705-695 x -189097-719 x -182785-1315 x -99941-3595 x -36557


How do I find the factor combinations of the number 131,422,415?

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 131,422,415, 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.

1 131,422,415
-1 -131,422,415

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 131,422,415.

Example:
1 x 131,422,415 = 131,422,415
and
-1 x -131,422,415 = 131,422,415
Notice both answers equal 131,422,415

With that explanation out of the way, let's continue. Next, we take the number 131,422,415 and divide it by 2:

131,422,415 ÷ 2 = 65,711,207.5

If the quotient is a whole number, then 2 and 65,711,207.5 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:

1 131,422,415
-1 -131,422,415

Now, we try dividing 131,422,415 by 3:

131,422,415 ÷ 3 = 43,807,471.6667

If the quotient is a whole number, then 3 and 43,807,471.6667 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:

1 131,422,415
-1 -131,422,415

Let's try dividing by 4:

131,422,415 ÷ 4 = 32,855,603.75

If the quotient is a whole number, then 4 and 32,855,603.75 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:

1 131,422,415
-1 131,422,415
Keep dividing by the next highest number until you cannot divide anymore.

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

151392636957191,3153,59536,55799,941182,785189,097499,705945,48526,284,483131,422,415
-1-5-139-263-695-719-1,315-3,595-36,557-99,941-182,785-189,097-499,705-945,485-26,284,483-131,422,415

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