Q: What are the factor combinations of the number 130,014,313?

 A:
Positive:   1 x 13001431311 x 1181948313 x 10001101143 x 909191263 x 4943512893 x 449413419 x 380273457 x 37609
Negative: -1 x -130014313-11 x -11819483-13 x -10001101-143 x -909191-263 x -494351-2893 x -44941-3419 x -38027-3457 x -37609


How do I find the factor combinations of the number 130,014,313?

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 130,014,313, 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.

1 130,014,313
-1 -130,014,313

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 130,014,313.

Example:
1 x 130,014,313 = 130,014,313
and
-1 x -130,014,313 = 130,014,313
Notice both answers equal 130,014,313

With that explanation out of the way, let's continue. Next, we take the number 130,014,313 and divide it by 2:

130,014,313 ÷ 2 = 65,007,156.5

If the quotient is a whole number, then 2 and 65,007,156.5 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:

1 130,014,313
-1 -130,014,313

Now, we try dividing 130,014,313 by 3:

130,014,313 ÷ 3 = 43,338,104.3333

If the quotient is a whole number, then 3 and 43,338,104.3333 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:

1 130,014,313
-1 -130,014,313

Let's try dividing by 4:

130,014,313 ÷ 4 = 32,503,578.25

If the quotient is a whole number, then 4 and 32,503,578.25 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:

1 130,014,313
-1 130,014,313
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432632,8933,4193,45737,60938,02744,941494,351909,19110,001,10111,819,483130,014,313
-1-11-13-143-263-2,893-3,419-3,457-37,609-38,027-44,941-494,351-909,191-10,001,101-11,819,483-130,014,313

More Examples

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