Q: What are the factor combinations of the number 133,336,015?

 A:
Positive:   1 x 1333360155 x 2666720317 x 784329519 x 701768585 x 156865995 x 1403537323 x 4128051615 x 82561
Negative: -1 x -133336015-5 x -26667203-17 x -7843295-19 x -7017685-85 x -1568659-95 x -1403537-323 x -412805-1615 x -82561


How do I find the factor combinations of the number 133,336,015?

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 133,336,015, 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.

1 133,336,015
-1 -133,336,015

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 133,336,015.

Example:
1 x 133,336,015 = 133,336,015
and
-1 x -133,336,015 = 133,336,015
Notice both answers equal 133,336,015

With that explanation out of the way, let's continue. Next, we take the number 133,336,015 and divide it by 2:

133,336,015 ÷ 2 = 66,668,007.5

If the quotient is a whole number, then 2 and 66,668,007.5 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:

1 133,336,015
-1 -133,336,015

Now, we try dividing 133,336,015 by 3:

133,336,015 ÷ 3 = 44,445,338.3333

If the quotient is a whole number, then 3 and 44,445,338.3333 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:

1 133,336,015
-1 -133,336,015

Let's try dividing by 4:

133,336,015 ÷ 4 = 33,334,003.75

If the quotient is a whole number, then 4 and 33,334,003.75 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:

1 133,336,015
-1 133,336,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15171985953231,61582,561412,8051,403,5371,568,6597,017,6857,843,29526,667,203133,336,015
-1-5-17-19-85-95-323-1,615-82,561-412,805-1,403,537-1,568,659-7,017,685-7,843,295-26,667,203-133,336,015

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