Q: What are the factor combinations of the number 131,025,125?

 A:
Positive:   1 x 1310251255 x 262050257 x 1871787511 x 1191137525 x 524100535 x 374357555 x 238227577 x 1701625125 x 1048201175 x 748715275 x 476455385 x 340325875 x 1497431375 x 952911925 x 680659625 x 13613
Negative: -1 x -131025125-5 x -26205025-7 x -18717875-11 x -11911375-25 x -5241005-35 x -3743575-55 x -2382275-77 x -1701625-125 x -1048201-175 x -748715-275 x -476455-385 x -340325-875 x -149743-1375 x -95291-1925 x -68065-9625 x -13613


How do I find the factor combinations of the number 131,025,125?

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 131,025,125, 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.

1 131,025,125
-1 -131,025,125

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 131,025,125.

Example:
1 x 131,025,125 = 131,025,125
and
-1 x -131,025,125 = 131,025,125
Notice both answers equal 131,025,125

With that explanation out of the way, let's continue. Next, we take the number 131,025,125 and divide it by 2:

131,025,125 ÷ 2 = 65,512,562.5

If the quotient is a whole number, then 2 and 65,512,562.5 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:

1 131,025,125
-1 -131,025,125

Now, we try dividing 131,025,125 by 3:

131,025,125 ÷ 3 = 43,675,041.6667

If the quotient is a whole number, then 3 and 43,675,041.6667 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:

1 131,025,125
-1 -131,025,125

Let's try dividing by 4:

131,025,125 ÷ 4 = 32,756,281.25

If the quotient is a whole number, then 4 and 32,756,281.25 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:

1 131,025,125
-1 131,025,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771251752753858751,3751,9259,62513,61368,06595,291149,743340,325476,455748,7151,048,2011,701,6252,382,2753,743,5755,241,00511,911,37518,717,87526,205,025131,025,125
-1-5-7-11-25-35-55-77-125-175-275-385-875-1,375-1,925-9,625-13,613-68,065-95,291-149,743-340,325-476,455-748,715-1,048,201-1,701,625-2,382,275-3,743,575-5,241,005-11,911,375-18,717,875-26,205,025-131,025,125

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