Q: What are the factor combinations of the number 331,233,145?

 A:
Positive:   1 x 3312331455 x 66246629127 x 2608135359 x 922655635 x 5216271453 x 2279651795 x 1845317265 x 45593
Negative: -1 x -331233145-5 x -66246629-127 x -2608135-359 x -922655-635 x -521627-1453 x -227965-1795 x -184531-7265 x -45593


How do I find the factor combinations of the number 331,233,145?

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 331,233,145, 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.

1 331,233,145
-1 -331,233,145

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 331,233,145.

Example:
1 x 331,233,145 = 331,233,145
and
-1 x -331,233,145 = 331,233,145
Notice both answers equal 331,233,145

With that explanation out of the way, let's continue. Next, we take the number 331,233,145 and divide it by 2:

331,233,145 ÷ 2 = 165,616,572.5

If the quotient is a whole number, then 2 and 165,616,572.5 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:

1 331,233,145
-1 -331,233,145

Now, we try dividing 331,233,145 by 3:

331,233,145 ÷ 3 = 110,411,048.3333

If the quotient is a whole number, then 3 and 110,411,048.3333 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:

1 331,233,145
-1 -331,233,145

Let's try dividing by 4:

331,233,145 ÷ 4 = 82,808,286.25

If the quotient is a whole number, then 4 and 82,808,286.25 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:

1 331,233,145
-1 331,233,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151273596351,4531,7957,26545,593184,531227,965521,627922,6552,608,13566,246,629331,233,145
-1-5-127-359-635-1,453-1,795-7,265-45,593-184,531-227,965-521,627-922,655-2,608,135-66,246,629-331,233,145

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