Q: What are the factor combinations of the number 36,160,775?

 A:
Positive:   1 x 361607755 x 72321557 x 516582525 x 144643135 x 103316549 x 737975175 x 206633245 x 147595343 x 1054251225 x 295191715 x 210854217 x 8575
Negative: -1 x -36160775-5 x -7232155-7 x -5165825-25 x -1446431-35 x -1033165-49 x -737975-175 x -206633-245 x -147595-343 x -105425-1225 x -29519-1715 x -21085-4217 x -8575


How do I find the factor combinations of the number 36,160,775?

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 36,160,775, 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 36,160,775
-1 -36,160,775

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 36,160,775.

Example:
1 x 36,160,775 = 36,160,775
and
-1 x -36,160,775 = 36,160,775
Notice both answers equal 36,160,775

With that explanation out of the way, let's continue. Next, we take the number 36,160,775 and divide it by 2:

36,160,775 ÷ 2 = 18,080,387.5

If the quotient is a whole number, then 2 and 18,080,387.5 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 36,160,775
-1 -36,160,775

Now, we try dividing 36,160,775 by 3:

36,160,775 ÷ 3 = 12,053,591.6667

If the quotient is a whole number, then 3 and 12,053,591.6667 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 36,160,775
-1 -36,160,775

Let's try dividing by 4:

36,160,775 ÷ 4 = 9,040,193.75

If the quotient is a whole number, then 4 and 9,040,193.75 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 36,160,775
-1 36,160,775
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752453431,2251,7154,2178,57521,08529,519105,425147,595206,633737,9751,033,1651,446,4315,165,8257,232,15536,160,775
-1-5-7-25-35-49-175-245-343-1,225-1,715-4,217-8,575-21,085-29,519-105,425-147,595-206,633-737,975-1,033,165-1,446,431-5,165,825-7,232,155-36,160,775

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