Q: What are the factor combinations of the number 133,113,103?

 A:
Positive:   1 x 13311310329 x 4590107
Negative: -1 x -133113103-29 x -4590107


How do I find the factor combinations of the number 133,113,103?

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 133,113,103, 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.

1 133,113,103
-1 -133,113,103

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 133,113,103.

Example:
1 x 133,113,103 = 133,113,103
and
-1 x -133,113,103 = 133,113,103
Notice both answers equal 133,113,103

With that explanation out of the way, let's continue. Next, we take the number 133,113,103 and divide it by 2:

133,113,103 ÷ 2 = 66,556,551.5

If the quotient is a whole number, then 2 and 66,556,551.5 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:

1 133,113,103
-1 -133,113,103

Now, we try dividing 133,113,103 by 3:

133,113,103 ÷ 3 = 44,371,034.3333

If the quotient is a whole number, then 3 and 44,371,034.3333 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:

1 133,113,103
-1 -133,113,103

Let's try dividing by 4:

133,113,103 ÷ 4 = 33,278,275.75

If the quotient is a whole number, then 4 and 33,278,275.75 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:

1 133,113,103
-1 133,113,103
Keep dividing by the next highest number until you cannot divide anymore.

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

1294,590,107133,113,103
-1-29-4,590,107-133,113,103

More Examples

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