Q: What are the factor combinations of the number 324,710,777?

 A:
Positive:   1 x 32471077779 x 4110263499 x 6507238237 x 39421
Negative: -1 x -324710777-79 x -4110263-499 x -650723-8237 x -39421


How do I find the factor combinations of the number 324,710,777?

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 324,710,777, 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.

1 324,710,777
-1 -324,710,777

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 324,710,777.

Example:
1 x 324,710,777 = 324,710,777
and
-1 x -324,710,777 = 324,710,777
Notice both answers equal 324,710,777

With that explanation out of the way, let's continue. Next, we take the number 324,710,777 and divide it by 2:

324,710,777 ÷ 2 = 162,355,388.5

If the quotient is a whole number, then 2 and 162,355,388.5 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:

1 324,710,777
-1 -324,710,777

Now, we try dividing 324,710,777 by 3:

324,710,777 ÷ 3 = 108,236,925.6667

If the quotient is a whole number, then 3 and 108,236,925.6667 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:

1 324,710,777
-1 -324,710,777

Let's try dividing by 4:

324,710,777 ÷ 4 = 81,177,694.25

If the quotient is a whole number, then 4 and 81,177,694.25 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:

1 324,710,777
-1 324,710,777
Keep dividing by the next highest number until you cannot divide anymore.

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

1794998,23739,421650,7234,110,263324,710,777
-1-79-499-8,237-39,421-650,723-4,110,263-324,710,777

More Examples

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