Q: What are the factor combinations of the number 133,674,035?

 A:
Positive:   1 x 1336740355 x 2673480711 x 1215218555 x 2430437449 x 2977152245 x 595434939 x 270655413 x 24695
Negative: -1 x -133674035-5 x -26734807-11 x -12152185-55 x -2430437-449 x -297715-2245 x -59543-4939 x -27065-5413 x -24695


How do I find the factor combinations of the number 133,674,035?

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 133,674,035, 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.

1 133,674,035
-1 -133,674,035

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 133,674,035.

Example:
1 x 133,674,035 = 133,674,035
and
-1 x -133,674,035 = 133,674,035
Notice both answers equal 133,674,035

With that explanation out of the way, let's continue. Next, we take the number 133,674,035 and divide it by 2:

133,674,035 ÷ 2 = 66,837,017.5

If the quotient is a whole number, then 2 and 66,837,017.5 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:

1 133,674,035
-1 -133,674,035

Now, we try dividing 133,674,035 by 3:

133,674,035 ÷ 3 = 44,558,011.6667

If the quotient is a whole number, then 3 and 44,558,011.6667 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:

1 133,674,035
-1 -133,674,035

Let's try dividing by 4:

133,674,035 ÷ 4 = 33,418,508.75

If the quotient is a whole number, then 4 and 33,418,508.75 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:

1 133,674,035
-1 133,674,035
Keep dividing by the next highest number until you cannot divide anymore.

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

1511554492,2454,9395,41324,69527,06559,543297,7152,430,43712,152,18526,734,807133,674,035
-1-5-11-55-449-2,245-4,939-5,413-24,695-27,065-59,543-297,715-2,430,437-12,152,185-26,734,807-133,674,035

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