Q: What are the factor combinations of the number 131,640,775?

 A:
Positive:   1 x 1316407755 x 263281557 x 1880582517 x 774357525 x 526563135 x 376116585 x 1548715119 x 1106225175 x 752233425 x 309743595 x 2212452975 x 44249
Negative: -1 x -131640775-5 x -26328155-7 x -18805825-17 x -7743575-25 x -5265631-35 x -3761165-85 x -1548715-119 x -1106225-175 x -752233-425 x -309743-595 x -221245-2975 x -44249


How do I find the factor combinations of the number 131,640,775?

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 131,640,775, 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.

1 131,640,775
-1 -131,640,775

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 131,640,775.

Example:
1 x 131,640,775 = 131,640,775
and
-1 x -131,640,775 = 131,640,775
Notice both answers equal 131,640,775

With that explanation out of the way, let's continue. Next, we take the number 131,640,775 and divide it by 2:

131,640,775 ÷ 2 = 65,820,387.5

If the quotient is a whole number, then 2 and 65,820,387.5 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:

1 131,640,775
-1 -131,640,775

Now, we try dividing 131,640,775 by 3:

131,640,775 ÷ 3 = 43,880,258.3333

If the quotient is a whole number, then 3 and 43,880,258.3333 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:

1 131,640,775
-1 -131,640,775

Let's try dividing by 4:

131,640,775 ÷ 4 = 32,910,193.75

If the quotient is a whole number, then 4 and 32,910,193.75 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:

1 131,640,775
-1 131,640,775
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191754255952,97544,249221,245309,743752,2331,106,2251,548,7153,761,1655,265,6317,743,57518,805,82526,328,155131,640,775
-1-5-7-17-25-35-85-119-175-425-595-2,975-44,249-221,245-309,743-752,233-1,106,225-1,548,715-3,761,165-5,265,631-7,743,575-18,805,825-26,328,155-131,640,775

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