Q: What are the factor combinations of the number 163,243,259?

 A:
Positive:   1 x 16324325923 x 709753361 x 2676119307 x 531737379 x 4307211403 x 1163537061 x 231198717 x 18727
Negative: -1 x -163243259-23 x -7097533-61 x -2676119-307 x -531737-379 x -430721-1403 x -116353-7061 x -23119-8717 x -18727


How do I find the factor combinations of the number 163,243,259?

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 163,243,259, 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.

1 163,243,259
-1 -163,243,259

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 163,243,259.

Example:
1 x 163,243,259 = 163,243,259
and
-1 x -163,243,259 = 163,243,259
Notice both answers equal 163,243,259

With that explanation out of the way, let's continue. Next, we take the number 163,243,259 and divide it by 2:

163,243,259 ÷ 2 = 81,621,629.5

If the quotient is a whole number, then 2 and 81,621,629.5 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:

1 163,243,259
-1 -163,243,259

Now, we try dividing 163,243,259 by 3:

163,243,259 ÷ 3 = 54,414,419.6667

If the quotient is a whole number, then 3 and 54,414,419.6667 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:

1 163,243,259
-1 -163,243,259

Let's try dividing by 4:

163,243,259 ÷ 4 = 40,810,814.75

If the quotient is a whole number, then 4 and 40,810,814.75 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:

1 163,243,259
-1 163,243,259
Keep dividing by the next highest number until you cannot divide anymore.

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

123613073791,4037,0618,71718,72723,119116,353430,721531,7372,676,1197,097,533163,243,259
-1-23-61-307-379-1,403-7,061-8,717-18,727-23,119-116,353-430,721-531,737-2,676,119-7,097,533-163,243,259

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