Q: What are the factor combinations of the number 231,616,525?

 A:
Positive:   1 x 2316165255 x 463233057 x 3308807525 x 926466135 x 6617615175 x 1323523251 x 9227751255 x 1845551757 x 1318255273 x 439256275 x 369118785 x 26365
Negative: -1 x -231616525-5 x -46323305-7 x -33088075-25 x -9264661-35 x -6617615-175 x -1323523-251 x -922775-1255 x -184555-1757 x -131825-5273 x -43925-6275 x -36911-8785 x -26365


How do I find the factor combinations of the number 231,616,525?

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 231,616,525, 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.

1 231,616,525
-1 -231,616,525

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 231,616,525.

Example:
1 x 231,616,525 = 231,616,525
and
-1 x -231,616,525 = 231,616,525
Notice both answers equal 231,616,525

With that explanation out of the way, let's continue. Next, we take the number 231,616,525 and divide it by 2:

231,616,525 ÷ 2 = 115,808,262.5

If the quotient is a whole number, then 2 and 115,808,262.5 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:

1 231,616,525
-1 -231,616,525

Now, we try dividing 231,616,525 by 3:

231,616,525 ÷ 3 = 77,205,508.3333

If the quotient is a whole number, then 3 and 77,205,508.3333 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:

1 231,616,525
-1 -231,616,525

Let's try dividing by 4:

231,616,525 ÷ 4 = 57,904,131.25

If the quotient is a whole number, then 4 and 57,904,131.25 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:

1 231,616,525
-1 231,616,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351752511,2551,7575,2736,2758,78526,36536,91143,925131,825184,555922,7751,323,5236,617,6159,264,66133,088,07546,323,305231,616,525
-1-5-7-25-35-175-251-1,255-1,757-5,273-6,275-8,785-26,365-36,911-43,925-131,825-184,555-922,775-1,323,523-6,617,615-9,264,661-33,088,075-46,323,305-231,616,525

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