Q: What are the factor combinations of the number 404,323,135?

 A:
Positive:   1 x 4043231355 x 8086462719 x 2128016595 x 42560331721 x 2349352473 x 1634958605 x 4698712365 x 32699
Negative: -1 x -404323135-5 x -80864627-19 x -21280165-95 x -4256033-1721 x -234935-2473 x -163495-8605 x -46987-12365 x -32699


How do I find the factor combinations of the number 404,323,135?

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 404,323,135, 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.

1 404,323,135
-1 -404,323,135

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 404,323,135.

Example:
1 x 404,323,135 = 404,323,135
and
-1 x -404,323,135 = 404,323,135
Notice both answers equal 404,323,135

With that explanation out of the way, let's continue. Next, we take the number 404,323,135 and divide it by 2:

404,323,135 ÷ 2 = 202,161,567.5

If the quotient is a whole number, then 2 and 202,161,567.5 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:

1 404,323,135
-1 -404,323,135

Now, we try dividing 404,323,135 by 3:

404,323,135 ÷ 3 = 134,774,378.3333

If the quotient is a whole number, then 3 and 134,774,378.3333 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:

1 404,323,135
-1 -404,323,135

Let's try dividing by 4:

404,323,135 ÷ 4 = 101,080,783.75

If the quotient is a whole number, then 4 and 101,080,783.75 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:

1 404,323,135
-1 404,323,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951,7212,4738,60512,36532,69946,987163,495234,9354,256,03321,280,16580,864,627404,323,135
-1-5-19-95-1,721-2,473-8,605-12,365-32,699-46,987-163,495-234,935-4,256,033-21,280,165-80,864,627-404,323,135

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