Q: What are the factor combinations of the number 163,240,231?

 A:
Positive:   1 x 1632402317 x 2332003311 x 1484002177 x 2120003659 x 2477093217 x 507434613 x 353877249 x 22519
Negative: -1 x -163240231-7 x -23320033-11 x -14840021-77 x -2120003-659 x -247709-3217 x -50743-4613 x -35387-7249 x -22519


How do I find the factor combinations of the number 163,240,231?

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 163,240,231, 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.

1 163,240,231
-1 -163,240,231

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 163,240,231.

Example:
1 x 163,240,231 = 163,240,231
and
-1 x -163,240,231 = 163,240,231
Notice both answers equal 163,240,231

With that explanation out of the way, let's continue. Next, we take the number 163,240,231 and divide it by 2:

163,240,231 ÷ 2 = 81,620,115.5

If the quotient is a whole number, then 2 and 81,620,115.5 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:

1 163,240,231
-1 -163,240,231

Now, we try dividing 163,240,231 by 3:

163,240,231 ÷ 3 = 54,413,410.3333

If the quotient is a whole number, then 3 and 54,413,410.3333 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:

1 163,240,231
-1 -163,240,231

Let's try dividing by 4:

163,240,231 ÷ 4 = 40,810,057.75

If the quotient is a whole number, then 4 and 40,810,057.75 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:

1 163,240,231
-1 163,240,231
Keep dividing by the next highest number until you cannot divide anymore.

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

1711776593,2174,6137,24922,51935,38750,743247,7092,120,00314,840,02123,320,033163,240,231
-1-7-11-77-659-3,217-4,613-7,249-22,519-35,387-50,743-247,709-2,120,003-14,840,021-23,320,033-163,240,231

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