Q: What are the factor combinations of the number 231,604,373?

 A:
Positive:   1 x 2316043737 x 3308633911 x 2105494313 x 1781572161 x 379679377 x 300784991 x 2545103143 x 1619611427 x 542399671 x 345163793 x 2920611001 x 2313733793 x 610614697 x 493095551 x 417238723 x 26551
Negative: -1 x -231604373-7 x -33086339-11 x -21054943-13 x -17815721-61 x -3796793-77 x -3007849-91 x -2545103-143 x -1619611-427 x -542399-671 x -345163-793 x -292061-1001 x -231373-3793 x -61061-4697 x -49309-5551 x -41723-8723 x -26551


How do I find the factor combinations of the number 231,604,373?

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 231,604,373, 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.

1 231,604,373
-1 -231,604,373

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 231,604,373.

Example:
1 x 231,604,373 = 231,604,373
and
-1 x -231,604,373 = 231,604,373
Notice both answers equal 231,604,373

With that explanation out of the way, let's continue. Next, we take the number 231,604,373 and divide it by 2:

231,604,373 ÷ 2 = 115,802,186.5

If the quotient is a whole number, then 2 and 115,802,186.5 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:

1 231,604,373
-1 -231,604,373

Now, we try dividing 231,604,373 by 3:

231,604,373 ÷ 3 = 77,201,457.6667

If the quotient is a whole number, then 3 and 77,201,457.6667 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:

1 231,604,373
-1 -231,604,373

Let's try dividing by 4:

231,604,373 ÷ 4 = 57,901,093.25

If the quotient is a whole number, then 4 and 57,901,093.25 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:

1 231,604,373
-1 231,604,373
Keep dividing by the next highest number until you cannot divide anymore.

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

1711136177911434276717931,0013,7934,6975,5518,72326,55141,72349,30961,061231,373292,061345,163542,3991,619,6112,545,1033,007,8493,796,79317,815,72121,054,94333,086,339231,604,373
-1-7-11-13-61-77-91-143-427-671-793-1,001-3,793-4,697-5,551-8,723-26,551-41,723-49,309-61,061-231,373-292,061-345,163-542,399-1,619,611-2,545,103-3,007,849-3,796,793-17,815,721-21,054,943-33,086,339-231,604,373

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