Q: What are the factor combinations of the number 235,316,059?

 A:
Positive:   1 x 23531605911 x 2139236923 x 10231133113 x 2082443253 x 9301031243 x 1893132599 x 905418231 x 28589
Negative: -1 x -235316059-11 x -21392369-23 x -10231133-113 x -2082443-253 x -930103-1243 x -189313-2599 x -90541-8231 x -28589


How do I find the factor combinations of the number 235,316,059?

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 235,316,059, 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.

1 235,316,059
-1 -235,316,059

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 235,316,059.

Example:
1 x 235,316,059 = 235,316,059
and
-1 x -235,316,059 = 235,316,059
Notice both answers equal 235,316,059

With that explanation out of the way, let's continue. Next, we take the number 235,316,059 and divide it by 2:

235,316,059 ÷ 2 = 117,658,029.5

If the quotient is a whole number, then 2 and 117,658,029.5 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:

1 235,316,059
-1 -235,316,059

Now, we try dividing 235,316,059 by 3:

235,316,059 ÷ 3 = 78,438,686.3333

If the quotient is a whole number, then 3 and 78,438,686.3333 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:

1 235,316,059
-1 -235,316,059

Let's try dividing by 4:

235,316,059 ÷ 4 = 58,829,014.75

If the quotient is a whole number, then 4 and 58,829,014.75 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:

1 235,316,059
-1 235,316,059
Keep dividing by the next highest number until you cannot divide anymore.

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

111231132531,2432,5998,23128,58990,541189,313930,1032,082,44310,231,13321,392,369235,316,059
-1-11-23-113-253-1,243-2,599-8,231-28,589-90,541-189,313-930,103-2,082,443-10,231,133-21,392,369-235,316,059

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