Q: What are the factor combinations of the number 231,044,015?

 A:
Positive:   1 x 2310440155 x 4620880329 x 7967035145 x 1593407431 x 5360652155 x 1072133697 x 6249512499 x 18485
Negative: -1 x -231044015-5 x -46208803-29 x -7967035-145 x -1593407-431 x -536065-2155 x -107213-3697 x -62495-12499 x -18485


How do I find the factor combinations of the number 231,044,015?

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 231,044,015, 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.

1 231,044,015
-1 -231,044,015

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 231,044,015.

Example:
1 x 231,044,015 = 231,044,015
and
-1 x -231,044,015 = 231,044,015
Notice both answers equal 231,044,015

With that explanation out of the way, let's continue. Next, we take the number 231,044,015 and divide it by 2:

231,044,015 ÷ 2 = 115,522,007.5

If the quotient is a whole number, then 2 and 115,522,007.5 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:

1 231,044,015
-1 -231,044,015

Now, we try dividing 231,044,015 by 3:

231,044,015 ÷ 3 = 77,014,671.6667

If the quotient is a whole number, then 3 and 77,014,671.6667 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:

1 231,044,015
-1 -231,044,015

Let's try dividing by 4:

231,044,015 ÷ 4 = 57,761,003.75

If the quotient is a whole number, then 4 and 57,761,003.75 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:

1 231,044,015
-1 231,044,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15291454312,1553,69712,49918,48562,495107,213536,0651,593,4077,967,03546,208,803231,044,015
-1-5-29-145-431-2,155-3,697-12,499-18,485-62,495-107,213-536,065-1,593,407-7,967,035-46,208,803-231,044,015

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