Q: What are the factor combinations of the number 323,015,455?

 A:
Positive:   1 x 3230154555 x 646030917 x 4614506535 x 9229013
Negative: -1 x -323015455-5 x -64603091-7 x -46145065-35 x -9229013


How do I find the factor combinations of the number 323,015,455?

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 323,015,455, 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.

1 323,015,455
-1 -323,015,455

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 323,015,455.

Example:
1 x 323,015,455 = 323,015,455
and
-1 x -323,015,455 = 323,015,455
Notice both answers equal 323,015,455

With that explanation out of the way, let's continue. Next, we take the number 323,015,455 and divide it by 2:

323,015,455 ÷ 2 = 161,507,727.5

If the quotient is a whole number, then 2 and 161,507,727.5 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:

1 323,015,455
-1 -323,015,455

Now, we try dividing 323,015,455 by 3:

323,015,455 ÷ 3 = 107,671,818.3333

If the quotient is a whole number, then 3 and 107,671,818.3333 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:

1 323,015,455
-1 -323,015,455

Let's try dividing by 4:

323,015,455 ÷ 4 = 80,753,863.75

If the quotient is a whole number, then 4 and 80,753,863.75 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:

1 323,015,455
-1 323,015,455
Keep dividing by the next highest number until you cannot divide anymore.

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

157359,229,01346,145,06564,603,091323,015,455
-1-5-7-35-9,229,013-46,145,065-64,603,091-323,015,455

More Examples

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