Q: What are the factor combinations of the number 231,236,533?

 A:
Positive:   1 x 23123653311 x 2102150317 x 1360214931 x 7459243113 x 2046341187 x 1236559341 x 678113353 x 655061527 x 4387791243 x 1860311921 x 1203733503 x 660113883 x 595515797 x 398896001 x 3853310943 x 21131
Negative: -1 x -231236533-11 x -21021503-17 x -13602149-31 x -7459243-113 x -2046341-187 x -1236559-341 x -678113-353 x -655061-527 x -438779-1243 x -186031-1921 x -120373-3503 x -66011-3883 x -59551-5797 x -39889-6001 x -38533-10943 x -21131


How do I find the factor combinations of the number 231,236,533?

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 231,236,533, 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.

1 231,236,533
-1 -231,236,533

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 231,236,533.

Example:
1 x 231,236,533 = 231,236,533
and
-1 x -231,236,533 = 231,236,533
Notice both answers equal 231,236,533

With that explanation out of the way, let's continue. Next, we take the number 231,236,533 and divide it by 2:

231,236,533 ÷ 2 = 115,618,266.5

If the quotient is a whole number, then 2 and 115,618,266.5 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:

1 231,236,533
-1 -231,236,533

Now, we try dividing 231,236,533 by 3:

231,236,533 ÷ 3 = 77,078,844.3333

If the quotient is a whole number, then 3 and 77,078,844.3333 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:

1 231,236,533
-1 -231,236,533

Let's try dividing by 4:

231,236,533 ÷ 4 = 57,809,133.25

If the quotient is a whole number, then 4 and 57,809,133.25 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:

1 231,236,533
-1 231,236,533
Keep dividing by the next highest number until you cannot divide anymore.

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

11117311131873413535271,2431,9213,5033,8835,7976,00110,94321,13138,53339,88959,55166,011120,373186,031438,779655,061678,1131,236,5592,046,3417,459,24313,602,14921,021,503231,236,533
-1-11-17-31-113-187-341-353-527-1,243-1,921-3,503-3,883-5,797-6,001-10,943-21,131-38,533-39,889-59,551-66,011-120,373-186,031-438,779-655,061-678,113-1,236,559-2,046,341-7,459,243-13,602,149-21,021,503-231,236,533

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