Q: What are the factor combinations of the number 232,223,329?

 A:
Positive:   1 x 23222332913 x 1786333329 x 8007701163 x 1424683377 x 6159772119 x 1095913779 x 614514727 x 49127
Negative: -1 x -232223329-13 x -17863333-29 x -8007701-163 x -1424683-377 x -615977-2119 x -109591-3779 x -61451-4727 x -49127


How do I find the factor combinations of the number 232,223,329?

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 232,223,329, 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.

1 232,223,329
-1 -232,223,329

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 232,223,329.

Example:
1 x 232,223,329 = 232,223,329
and
-1 x -232,223,329 = 232,223,329
Notice both answers equal 232,223,329

With that explanation out of the way, let's continue. Next, we take the number 232,223,329 and divide it by 2:

232,223,329 ÷ 2 = 116,111,664.5

If the quotient is a whole number, then 2 and 116,111,664.5 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:

1 232,223,329
-1 -232,223,329

Now, we try dividing 232,223,329 by 3:

232,223,329 ÷ 3 = 77,407,776.3333

If the quotient is a whole number, then 3 and 77,407,776.3333 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:

1 232,223,329
-1 -232,223,329

Let's try dividing by 4:

232,223,329 ÷ 4 = 58,055,832.25

If the quotient is a whole number, then 4 and 58,055,832.25 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:

1 232,223,329
-1 232,223,329
Keep dividing by the next highest number until you cannot divide anymore.

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

113291633772,1193,7794,72749,12761,451109,591615,9771,424,6838,007,70117,863,333232,223,329
-1-13-29-163-377-2,119-3,779-4,727-49,127-61,451-109,591-615,977-1,424,683-8,007,701-17,863,333-232,223,329

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