Q: What are the factor combinations of the number 231,434,885?

 A:
Positive:   1 x 2314348855 x 4628697711 x 2103953555 x 4207907121 x 1912685277 x 835505605 x 3825371381 x 1675851385 x 1671013047 x 759556905 x 3351715191 x 15235
Negative: -1 x -231434885-5 x -46286977-11 x -21039535-55 x -4207907-121 x -1912685-277 x -835505-605 x -382537-1381 x -167585-1385 x -167101-3047 x -75955-6905 x -33517-15191 x -15235


How do I find the factor combinations of the number 231,434,885?

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 231,434,885, 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.

1 231,434,885
-1 -231,434,885

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 231,434,885.

Example:
1 x 231,434,885 = 231,434,885
and
-1 x -231,434,885 = 231,434,885
Notice both answers equal 231,434,885

With that explanation out of the way, let's continue. Next, we take the number 231,434,885 and divide it by 2:

231,434,885 ÷ 2 = 115,717,442.5

If the quotient is a whole number, then 2 and 115,717,442.5 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:

1 231,434,885
-1 -231,434,885

Now, we try dividing 231,434,885 by 3:

231,434,885 ÷ 3 = 77,144,961.6667

If the quotient is a whole number, then 3 and 77,144,961.6667 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:

1 231,434,885
-1 -231,434,885

Let's try dividing by 4:

231,434,885 ÷ 4 = 57,858,721.25

If the quotient is a whole number, then 4 and 57,858,721.25 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:

1 231,434,885
-1 231,434,885
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551212776051,3811,3853,0476,90515,19115,23533,51775,955167,101167,585382,537835,5051,912,6854,207,90721,039,53546,286,977231,434,885
-1-5-11-55-121-277-605-1,381-1,385-3,047-6,905-15,191-15,235-33,517-75,955-167,101-167,585-382,537-835,505-1,912,685-4,207,907-21,039,535-46,286,977-231,434,885

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