Q: What are the factor combinations of the number 133,344,343?

 A:
Positive:   1 x 13334434311 x 1212221353 x 2515931331 x 402853583 x 228721691 x 1929733641 x 366237601 x 17543
Negative: -1 x -133344343-11 x -12122213-53 x -2515931-331 x -402853-583 x -228721-691 x -192973-3641 x -36623-7601 x -17543


How do I find the factor combinations of the number 133,344,343?

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 133,344,343, 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.

1 133,344,343
-1 -133,344,343

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 133,344,343.

Example:
1 x 133,344,343 = 133,344,343
and
-1 x -133,344,343 = 133,344,343
Notice both answers equal 133,344,343

With that explanation out of the way, let's continue. Next, we take the number 133,344,343 and divide it by 2:

133,344,343 ÷ 2 = 66,672,171.5

If the quotient is a whole number, then 2 and 66,672,171.5 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:

1 133,344,343
-1 -133,344,343

Now, we try dividing 133,344,343 by 3:

133,344,343 ÷ 3 = 44,448,114.3333

If the quotient is a whole number, then 3 and 44,448,114.3333 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:

1 133,344,343
-1 -133,344,343

Let's try dividing by 4:

133,344,343 ÷ 4 = 33,336,085.75

If the quotient is a whole number, then 4 and 33,336,085.75 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:

1 133,344,343
-1 133,344,343
Keep dividing by the next highest number until you cannot divide anymore.

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

111533315836913,6417,60117,54336,623192,973228,721402,8532,515,93112,122,213133,344,343
-1-11-53-331-583-691-3,641-7,601-17,543-36,623-192,973-228,721-402,853-2,515,931-12,122,213-133,344,343

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