Q: What are the factor combinations of the number 326,501,735?

 A:
Positive:   1 x 3265017355 x 653003477 x 4664310535 x 9328621233 x 14012951165 x 2802591631 x 2001858155 x 40037
Negative: -1 x -326501735-5 x -65300347-7 x -46643105-35 x -9328621-233 x -1401295-1165 x -280259-1631 x -200185-8155 x -40037


How do I find the factor combinations of the number 326,501,735?

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 326,501,735, 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.

1 326,501,735
-1 -326,501,735

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 326,501,735.

Example:
1 x 326,501,735 = 326,501,735
and
-1 x -326,501,735 = 326,501,735
Notice both answers equal 326,501,735

With that explanation out of the way, let's continue. Next, we take the number 326,501,735 and divide it by 2:

326,501,735 ÷ 2 = 163,250,867.5

If the quotient is a whole number, then 2 and 163,250,867.5 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:

1 326,501,735
-1 -326,501,735

Now, we try dividing 326,501,735 by 3:

326,501,735 ÷ 3 = 108,833,911.6667

If the quotient is a whole number, then 3 and 108,833,911.6667 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:

1 326,501,735
-1 -326,501,735

Let's try dividing by 4:

326,501,735 ÷ 4 = 81,625,433.75

If the quotient is a whole number, then 4 and 81,625,433.75 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:

1 326,501,735
-1 326,501,735
Keep dividing by the next highest number until you cannot divide anymore.

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

157352331,1651,6318,15540,037200,185280,2591,401,2959,328,62146,643,10565,300,347326,501,735
-1-5-7-35-233-1,165-1,631-8,155-40,037-200,185-280,259-1,401,295-9,328,621-46,643,105-65,300,347-326,501,735

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