Q: What are the factor combinations of the number 326,722,547?

 A:
Positive:   1 x 32672254731 x 10539437479 x 68209314849 x 22003
Negative: -1 x -326722547-31 x -10539437-479 x -682093-14849 x -22003


How do I find the factor combinations of the number 326,722,547?

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 326,722,547, 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.

1 326,722,547
-1 -326,722,547

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 326,722,547.

Example:
1 x 326,722,547 = 326,722,547
and
-1 x -326,722,547 = 326,722,547
Notice both answers equal 326,722,547

With that explanation out of the way, let's continue. Next, we take the number 326,722,547 and divide it by 2:

326,722,547 ÷ 2 = 163,361,273.5

If the quotient is a whole number, then 2 and 163,361,273.5 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:

1 326,722,547
-1 -326,722,547

Now, we try dividing 326,722,547 by 3:

326,722,547 ÷ 3 = 108,907,515.6667

If the quotient is a whole number, then 3 and 108,907,515.6667 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:

1 326,722,547
-1 -326,722,547

Let's try dividing by 4:

326,722,547 ÷ 4 = 81,680,636.75

If the quotient is a whole number, then 4 and 81,680,636.75 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:

1 326,722,547
-1 326,722,547
Keep dividing by the next highest number until you cannot divide anymore.

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

13147914,84922,003682,09310,539,437326,722,547
-1-31-479-14,849-22,003-682,093-10,539,437-326,722,547

More Examples

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