Q: What are the factor combinations of the number 232,460,333?

 A:
Positive:   1 x 2324603337 x 3320861923 x 10106971161 x 14438531093 x 2126811321 x 1759737651 x 303839247 x 25139
Negative: -1 x -232460333-7 x -33208619-23 x -10106971-161 x -1443853-1093 x -212681-1321 x -175973-7651 x -30383-9247 x -25139


How do I find the factor combinations of the number 232,460,333?

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 232,460,333, 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.

1 232,460,333
-1 -232,460,333

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 232,460,333.

Example:
1 x 232,460,333 = 232,460,333
and
-1 x -232,460,333 = 232,460,333
Notice both answers equal 232,460,333

With that explanation out of the way, let's continue. Next, we take the number 232,460,333 and divide it by 2:

232,460,333 ÷ 2 = 116,230,166.5

If the quotient is a whole number, then 2 and 116,230,166.5 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:

1 232,460,333
-1 -232,460,333

Now, we try dividing 232,460,333 by 3:

232,460,333 ÷ 3 = 77,486,777.6667

If the quotient is a whole number, then 3 and 77,486,777.6667 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:

1 232,460,333
-1 -232,460,333

Let's try dividing by 4:

232,460,333 ÷ 4 = 58,115,083.25

If the quotient is a whole number, then 4 and 58,115,083.25 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:

1 232,460,333
-1 232,460,333
Keep dividing by the next highest number until you cannot divide anymore.

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

17231611,0931,3217,6519,24725,13930,383175,973212,6811,443,85310,106,97133,208,619232,460,333
-1-7-23-161-1,093-1,321-7,651-9,247-25,139-30,383-175,973-212,681-1,443,853-10,106,971-33,208,619-232,460,333

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