Q: What are the factor combinations of the number 130,820,729?

 A:
Positive:   1 x 13082072913 x 1006313317 x 7695337221 x 591949277 x 4722772137 x 612173601 x 363294709 x 27781
Negative: -1 x -130820729-13 x -10063133-17 x -7695337-221 x -591949-277 x -472277-2137 x -61217-3601 x -36329-4709 x -27781


How do I find the factor combinations of the number 130,820,729?

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 130,820,729, 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.

1 130,820,729
-1 -130,820,729

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 130,820,729.

Example:
1 x 130,820,729 = 130,820,729
and
-1 x -130,820,729 = 130,820,729
Notice both answers equal 130,820,729

With that explanation out of the way, let's continue. Next, we take the number 130,820,729 and divide it by 2:

130,820,729 ÷ 2 = 65,410,364.5

If the quotient is a whole number, then 2 and 65,410,364.5 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:

1 130,820,729
-1 -130,820,729

Now, we try dividing 130,820,729 by 3:

130,820,729 ÷ 3 = 43,606,909.6667

If the quotient is a whole number, then 3 and 43,606,909.6667 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:

1 130,820,729
-1 -130,820,729

Let's try dividing by 4:

130,820,729 ÷ 4 = 32,705,182.25

If the quotient is a whole number, then 4 and 32,705,182.25 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:

1 130,820,729
-1 130,820,729
Keep dividing by the next highest number until you cannot divide anymore.

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

113172212772,1373,6014,70927,78136,32961,217472,277591,9497,695,33710,063,133130,820,729
-1-13-17-221-277-2,137-3,601-4,709-27,781-36,329-61,217-472,277-591,949-7,695,337-10,063,133-130,820,729

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