Q: What are the factor combinations of the number 133,675,069?

 A:
Positive:   1 x 13367506911 x 1215227931 x 431209983 x 1610543341 x 392009913 x 1464132573 x 519534723 x 28303
Negative: -1 x -133675069-11 x -12152279-31 x -4312099-83 x -1610543-341 x -392009-913 x -146413-2573 x -51953-4723 x -28303


How do I find the factor combinations of the number 133,675,069?

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 133,675,069, 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.

1 133,675,069
-1 -133,675,069

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 133,675,069.

Example:
1 x 133,675,069 = 133,675,069
and
-1 x -133,675,069 = 133,675,069
Notice both answers equal 133,675,069

With that explanation out of the way, let's continue. Next, we take the number 133,675,069 and divide it by 2:

133,675,069 ÷ 2 = 66,837,534.5

If the quotient is a whole number, then 2 and 66,837,534.5 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:

1 133,675,069
-1 -133,675,069

Now, we try dividing 133,675,069 by 3:

133,675,069 ÷ 3 = 44,558,356.3333

If the quotient is a whole number, then 3 and 44,558,356.3333 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:

1 133,675,069
-1 -133,675,069

Let's try dividing by 4:

133,675,069 ÷ 4 = 33,418,767.25

If the quotient is a whole number, then 4 and 33,418,767.25 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:

1 133,675,069
-1 133,675,069
Keep dividing by the next highest number until you cannot divide anymore.

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

11131833419132,5734,72328,30351,953146,413392,0091,610,5434,312,09912,152,279133,675,069
-1-11-31-83-341-913-2,573-4,723-28,303-51,953-146,413-392,009-1,610,543-4,312,099-12,152,279-133,675,069

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