Q: What are the factor combinations of the number 130,021,031?

 A:
Positive:   1 x 1300210317 x 1857443353 x 245322797 x 1340423371 x 350461679 x 1914893613 x 359875141 x 25291
Negative: -1 x -130021031-7 x -18574433-53 x -2453227-97 x -1340423-371 x -350461-679 x -191489-3613 x -35987-5141 x -25291


How do I find the factor combinations of the number 130,021,031?

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 130,021,031, 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.

1 130,021,031
-1 -130,021,031

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 130,021,031.

Example:
1 x 130,021,031 = 130,021,031
and
-1 x -130,021,031 = 130,021,031
Notice both answers equal 130,021,031

With that explanation out of the way, let's continue. Next, we take the number 130,021,031 and divide it by 2:

130,021,031 ÷ 2 = 65,010,515.5

If the quotient is a whole number, then 2 and 65,010,515.5 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:

1 130,021,031
-1 -130,021,031

Now, we try dividing 130,021,031 by 3:

130,021,031 ÷ 3 = 43,340,343.6667

If the quotient is a whole number, then 3 and 43,340,343.6667 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:

1 130,021,031
-1 -130,021,031

Let's try dividing by 4:

130,021,031 ÷ 4 = 32,505,257.75

If the quotient is a whole number, then 4 and 32,505,257.75 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:

1 130,021,031
-1 130,021,031
Keep dividing by the next highest number until you cannot divide anymore.

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

1753973716793,6135,14125,29135,987191,489350,4611,340,4232,453,22718,574,433130,021,031
-1-7-53-97-371-679-3,613-5,141-25,291-35,987-191,489-350,461-1,340,423-2,453,227-18,574,433-130,021,031

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