Q: What are the factor combinations of the number 332,313,265?

 A:
Positive:   1 x 3323132655 x 6646265347 x 7070495157 x 2116645235 x 1414099785 x 4233297379 x 450359007 x 36895
Negative: -1 x -332313265-5 x -66462653-47 x -7070495-157 x -2116645-235 x -1414099-785 x -423329-7379 x -45035-9007 x -36895


How do I find the factor combinations of the number 332,313,265?

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 332,313,265, 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.

1 332,313,265
-1 -332,313,265

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 332,313,265.

Example:
1 x 332,313,265 = 332,313,265
and
-1 x -332,313,265 = 332,313,265
Notice both answers equal 332,313,265

With that explanation out of the way, let's continue. Next, we take the number 332,313,265 and divide it by 2:

332,313,265 ÷ 2 = 166,156,632.5

If the quotient is a whole number, then 2 and 166,156,632.5 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:

1 332,313,265
-1 -332,313,265

Now, we try dividing 332,313,265 by 3:

332,313,265 ÷ 3 = 110,771,088.3333

If the quotient is a whole number, then 3 and 110,771,088.3333 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:

1 332,313,265
-1 -332,313,265

Let's try dividing by 4:

332,313,265 ÷ 4 = 83,078,316.25

If the quotient is a whole number, then 4 and 83,078,316.25 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:

1 332,313,265
-1 332,313,265
Keep dividing by the next highest number until you cannot divide anymore.

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

15471572357857,3799,00736,89545,035423,3291,414,0992,116,6457,070,49566,462,653332,313,265
-1-5-47-157-235-785-7,379-9,007-36,895-45,035-423,329-1,414,099-2,116,645-7,070,495-66,462,653-332,313,265

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