Q: What are the factor combinations of the number 133,123,333?

 A:
Positive:   1 x 1331233337 x 1901761923 x 578797153 x 2511761161 x 826853371 x 3588231219 x 1092078533 x 15601
Negative: -1 x -133123333-7 x -19017619-23 x -5787971-53 x -2511761-161 x -826853-371 x -358823-1219 x -109207-8533 x -15601


How do I find the factor combinations of the number 133,123,333?

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 133,123,333, 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.

1 133,123,333
-1 -133,123,333

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 133,123,333.

Example:
1 x 133,123,333 = 133,123,333
and
-1 x -133,123,333 = 133,123,333
Notice both answers equal 133,123,333

With that explanation out of the way, let's continue. Next, we take the number 133,123,333 and divide it by 2:

133,123,333 ÷ 2 = 66,561,666.5

If the quotient is a whole number, then 2 and 66,561,666.5 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:

1 133,123,333
-1 -133,123,333

Now, we try dividing 133,123,333 by 3:

133,123,333 ÷ 3 = 44,374,444.3333

If the quotient is a whole number, then 3 and 44,374,444.3333 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:

1 133,123,333
-1 -133,123,333

Let's try dividing by 4:

133,123,333 ÷ 4 = 33,280,833.25

If the quotient is a whole number, then 4 and 33,280,833.25 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:

1 133,123,333
-1 133,123,333
Keep dividing by the next highest number until you cannot divide anymore.

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

1723531613711,2198,53315,601109,207358,823826,8532,511,7615,787,97119,017,619133,123,333
-1-7-23-53-161-371-1,219-8,533-15,601-109,207-358,823-826,853-2,511,761-5,787,971-19,017,619-133,123,333

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