Q: What are the factor combinations of the number 332,645,243?

 A:
Positive:   1 x 3326452437 x 4752074989 x 3737587509 x 653527623 x 5339411049 x 3171073563 x 933617343 x 45301
Negative: -1 x -332645243-7 x -47520749-89 x -3737587-509 x -653527-623 x -533941-1049 x -317107-3563 x -93361-7343 x -45301


How do I find the factor combinations of the number 332,645,243?

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 332,645,243, 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.

1 332,645,243
-1 -332,645,243

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 332,645,243.

Example:
1 x 332,645,243 = 332,645,243
and
-1 x -332,645,243 = 332,645,243
Notice both answers equal 332,645,243

With that explanation out of the way, let's continue. Next, we take the number 332,645,243 and divide it by 2:

332,645,243 ÷ 2 = 166,322,621.5

If the quotient is a whole number, then 2 and 166,322,621.5 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:

1 332,645,243
-1 -332,645,243

Now, we try dividing 332,645,243 by 3:

332,645,243 ÷ 3 = 110,881,747.6667

If the quotient is a whole number, then 3 and 110,881,747.6667 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:

1 332,645,243
-1 -332,645,243

Let's try dividing by 4:

332,645,243 ÷ 4 = 83,161,310.75

If the quotient is a whole number, then 4 and 83,161,310.75 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:

1 332,645,243
-1 332,645,243
Keep dividing by the next highest number until you cannot divide anymore.

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

17895096231,0493,5637,34345,30193,361317,107533,941653,5273,737,58747,520,749332,645,243
-1-7-89-509-623-1,049-3,563-7,343-45,301-93,361-317,107-533,941-653,527-3,737,587-47,520,749-332,645,243

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