Q: What are the factor combinations of the number 131,422,525?

 A:
Positive:   1 x 1314225255 x 2628450513 x 1010942519 x 691697525 x 525690165 x 202188595 x 1383395247 x 532075325 x 404377475 x 2766791235 x 1064156175 x 21283
Negative: -1 x -131422525-5 x -26284505-13 x -10109425-19 x -6916975-25 x -5256901-65 x -2021885-95 x -1383395-247 x -532075-325 x -404377-475 x -276679-1235 x -106415-6175 x -21283


How do I find the factor combinations of the number 131,422,525?

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 131,422,525, 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.

1 131,422,525
-1 -131,422,525

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 131,422,525.

Example:
1 x 131,422,525 = 131,422,525
and
-1 x -131,422,525 = 131,422,525
Notice both answers equal 131,422,525

With that explanation out of the way, let's continue. Next, we take the number 131,422,525 and divide it by 2:

131,422,525 ÷ 2 = 65,711,262.5

If the quotient is a whole number, then 2 and 65,711,262.5 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:

1 131,422,525
-1 -131,422,525

Now, we try dividing 131,422,525 by 3:

131,422,525 ÷ 3 = 43,807,508.3333

If the quotient is a whole number, then 3 and 43,807,508.3333 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:

1 131,422,525
-1 -131,422,525

Let's try dividing by 4:

131,422,525 ÷ 4 = 32,855,631.25

If the quotient is a whole number, then 4 and 32,855,631.25 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:

1 131,422,525
-1 131,422,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1513192565952473254751,2356,17521,283106,415276,679404,377532,0751,383,3952,021,8855,256,9016,916,97510,109,42526,284,505131,422,525
-1-5-13-19-25-65-95-247-325-475-1,235-6,175-21,283-106,415-276,679-404,377-532,075-1,383,395-2,021,885-5,256,901-6,916,975-10,109,425-26,284,505-131,422,525

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