Q: What are the factor combinations of the number 130,231,031?

 A:
Positive:   1 x 1302310317 x 1860443331 x 420100147 x 2770873113 x 1152487217 x 600143329 x 395839791 x 1646411457 x 893833503 x 371775311 x 2452110199 x 12769
Negative: -1 x -130231031-7 x -18604433-31 x -4201001-47 x -2770873-113 x -1152487-217 x -600143-329 x -395839-791 x -164641-1457 x -89383-3503 x -37177-5311 x -24521-10199 x -12769


How do I find the factor combinations of the number 130,231,031?

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 130,231,031, 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.

1 130,231,031
-1 -130,231,031

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 130,231,031.

Example:
1 x 130,231,031 = 130,231,031
and
-1 x -130,231,031 = 130,231,031
Notice both answers equal 130,231,031

With that explanation out of the way, let's continue. Next, we take the number 130,231,031 and divide it by 2:

130,231,031 ÷ 2 = 65,115,515.5

If the quotient is a whole number, then 2 and 65,115,515.5 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:

1 130,231,031
-1 -130,231,031

Now, we try dividing 130,231,031 by 3:

130,231,031 ÷ 3 = 43,410,343.6667

If the quotient is a whole number, then 3 and 43,410,343.6667 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:

1 130,231,031
-1 -130,231,031

Let's try dividing by 4:

130,231,031 ÷ 4 = 32,557,757.75

If the quotient is a whole number, then 4 and 32,557,757.75 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:

1 130,231,031
-1 130,231,031
Keep dividing by the next highest number until you cannot divide anymore.

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

1731471132173297911,4573,5035,31110,19912,76924,52137,17789,383164,641395,839600,1431,152,4872,770,8734,201,00118,604,433130,231,031
-1-7-31-47-113-217-329-791-1,457-3,503-5,311-10,199-12,769-24,521-37,177-89,383-164,641-395,839-600,143-1,152,487-2,770,873-4,201,001-18,604,433-130,231,031

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