Q: What are the factor combinations of the number 163,231,343?

 A:
Positive:   1 x 16323134311 x 1483921329 x 562866771 x 2299033319 x 511697781 x 2090032059 x 792777207 x 22649
Negative: -1 x -163231343-11 x -14839213-29 x -5628667-71 x -2299033-319 x -511697-781 x -209003-2059 x -79277-7207 x -22649


How do I find the factor combinations of the number 163,231,343?

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 163,231,343, 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.

1 163,231,343
-1 -163,231,343

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 163,231,343.

Example:
1 x 163,231,343 = 163,231,343
and
-1 x -163,231,343 = 163,231,343
Notice both answers equal 163,231,343

With that explanation out of the way, let's continue. Next, we take the number 163,231,343 and divide it by 2:

163,231,343 ÷ 2 = 81,615,671.5

If the quotient is a whole number, then 2 and 81,615,671.5 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:

1 163,231,343
-1 -163,231,343

Now, we try dividing 163,231,343 by 3:

163,231,343 ÷ 3 = 54,410,447.6667

If the quotient is a whole number, then 3 and 54,410,447.6667 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:

1 163,231,343
-1 -163,231,343

Let's try dividing by 4:

163,231,343 ÷ 4 = 40,807,835.75

If the quotient is a whole number, then 4 and 40,807,835.75 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:

1 163,231,343
-1 163,231,343
Keep dividing by the next highest number until you cannot divide anymore.

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

11129713197812,0597,20722,64979,277209,003511,6972,299,0335,628,66714,839,213163,231,343
-1-11-29-71-319-781-2,059-7,207-22,649-79,277-209,003-511,697-2,299,033-5,628,667-14,839,213-163,231,343

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