Q: What are the factor combinations of the number 231,232,235?

 A:
Positive:   1 x 2312322355 x 4624644713 x 1778709565 x 355741989 x 2598115445 x 5196231157 x 1998555785 x 39971
Negative: -1 x -231232235-5 x -46246447-13 x -17787095-65 x -3557419-89 x -2598115-445 x -519623-1157 x -199855-5785 x -39971


How do I find the factor combinations of the number 231,232,235?

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 231,232,235, 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.

1 231,232,235
-1 -231,232,235

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 231,232,235.

Example:
1 x 231,232,235 = 231,232,235
and
-1 x -231,232,235 = 231,232,235
Notice both answers equal 231,232,235

With that explanation out of the way, let's continue. Next, we take the number 231,232,235 and divide it by 2:

231,232,235 ÷ 2 = 115,616,117.5

If the quotient is a whole number, then 2 and 115,616,117.5 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:

1 231,232,235
-1 -231,232,235

Now, we try dividing 231,232,235 by 3:

231,232,235 ÷ 3 = 77,077,411.6667

If the quotient is a whole number, then 3 and 77,077,411.6667 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:

1 231,232,235
-1 -231,232,235

Let's try dividing by 4:

231,232,235 ÷ 4 = 57,808,058.75

If the quotient is a whole number, then 4 and 57,808,058.75 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:

1 231,232,235
-1 231,232,235
Keep dividing by the next highest number until you cannot divide anymore.

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

151365894451,1575,78539,971199,855519,6232,598,1153,557,41917,787,09546,246,447231,232,235
-1-5-13-65-89-445-1,157-5,785-39,971-199,855-519,623-2,598,115-3,557,419-17,787,095-46,246,447-231,232,235

More Examples

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