Q: What are the factor combinations of the number 326,337,565?

 A:
Positive:   1 x 3263375655 x 65267513101 x 3231065149 x 2190185505 x 646213745 x 4380374337 x 7524515049 x 21685
Negative: -1 x -326337565-5 x -65267513-101 x -3231065-149 x -2190185-505 x -646213-745 x -438037-4337 x -75245-15049 x -21685


How do I find the factor combinations of the number 326,337,565?

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 326,337,565, 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.

1 326,337,565
-1 -326,337,565

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 326,337,565.

Example:
1 x 326,337,565 = 326,337,565
and
-1 x -326,337,565 = 326,337,565
Notice both answers equal 326,337,565

With that explanation out of the way, let's continue. Next, we take the number 326,337,565 and divide it by 2:

326,337,565 ÷ 2 = 163,168,782.5

If the quotient is a whole number, then 2 and 163,168,782.5 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:

1 326,337,565
-1 -326,337,565

Now, we try dividing 326,337,565 by 3:

326,337,565 ÷ 3 = 108,779,188.3333

If the quotient is a whole number, then 3 and 108,779,188.3333 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:

1 326,337,565
-1 -326,337,565

Let's try dividing by 4:

326,337,565 ÷ 4 = 81,584,391.25

If the quotient is a whole number, then 4 and 81,584,391.25 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:

1 326,337,565
-1 326,337,565
Keep dividing by the next highest number until you cannot divide anymore.

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

151011495057454,33715,04921,68575,245438,037646,2132,190,1853,231,06565,267,513326,337,565
-1-5-101-149-505-745-4,337-15,049-21,685-75,245-438,037-646,213-2,190,185-3,231,065-65,267,513-326,337,565

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