Q: What are the factor combinations of the number 231,242,515?

 A:
Positive:   1 x 2312425155 x 462485037 x 3303464535 x 660692949 x 4719235107 x 2161145245 x 943847535 x 432229749 x 3087353745 x 617475243 x 441058821 x 26215
Negative: -1 x -231242515-5 x -46248503-7 x -33034645-35 x -6606929-49 x -4719235-107 x -2161145-245 x -943847-535 x -432229-749 x -308735-3745 x -61747-5243 x -44105-8821 x -26215


How do I find the factor combinations of the number 231,242,515?

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 231,242,515, 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.

1 231,242,515
-1 -231,242,515

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 231,242,515.

Example:
1 x 231,242,515 = 231,242,515
and
-1 x -231,242,515 = 231,242,515
Notice both answers equal 231,242,515

With that explanation out of the way, let's continue. Next, we take the number 231,242,515 and divide it by 2:

231,242,515 ÷ 2 = 115,621,257.5

If the quotient is a whole number, then 2 and 115,621,257.5 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:

1 231,242,515
-1 -231,242,515

Now, we try dividing 231,242,515 by 3:

231,242,515 ÷ 3 = 77,080,838.3333

If the quotient is a whole number, then 3 and 77,080,838.3333 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:

1 231,242,515
-1 -231,242,515

Let's try dividing by 4:

231,242,515 ÷ 4 = 57,810,628.75

If the quotient is a whole number, then 4 and 57,810,628.75 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:

1 231,242,515
-1 231,242,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15735491072455357493,7455,2438,82126,21544,10561,747308,735432,229943,8472,161,1454,719,2356,606,92933,034,64546,248,503231,242,515
-1-5-7-35-49-107-245-535-749-3,745-5,243-8,821-26,215-44,105-61,747-308,735-432,229-943,847-2,161,145-4,719,235-6,606,929-33,034,645-46,248,503-231,242,515

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 231,242,515:


Ask a Question