Q: What are the factor combinations of the number 130,213,433?

 A:
Positive:   1 x 1302134337 x 1860191949 x 2657417193 x 674681281 x 463393343 x 3796311351 x 963831967 x 661992401 x 542339457 x 13769
Negative: -1 x -130213433-7 x -18601919-49 x -2657417-193 x -674681-281 x -463393-343 x -379631-1351 x -96383-1967 x -66199-2401 x -54233-9457 x -13769


How do I find the factor combinations of the number 130,213,433?

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 130,213,433, 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.

1 130,213,433
-1 -130,213,433

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 130,213,433.

Example:
1 x 130,213,433 = 130,213,433
and
-1 x -130,213,433 = 130,213,433
Notice both answers equal 130,213,433

With that explanation out of the way, let's continue. Next, we take the number 130,213,433 and divide it by 2:

130,213,433 ÷ 2 = 65,106,716.5

If the quotient is a whole number, then 2 and 65,106,716.5 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:

1 130,213,433
-1 -130,213,433

Now, we try dividing 130,213,433 by 3:

130,213,433 ÷ 3 = 43,404,477.6667

If the quotient is a whole number, then 3 and 43,404,477.6667 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:

1 130,213,433
-1 -130,213,433

Let's try dividing by 4:

130,213,433 ÷ 4 = 32,553,358.25

If the quotient is a whole number, then 4 and 32,553,358.25 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:

1 130,213,433
-1 130,213,433
Keep dividing by the next highest number until you cannot divide anymore.

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

17491932813431,3511,9672,4019,45713,76954,23366,19996,383379,631463,393674,6812,657,41718,601,919130,213,433
-1-7-49-193-281-343-1,351-1,967-2,401-9,457-13,769-54,233-66,199-96,383-379,631-463,393-674,681-2,657,417-18,601,919-130,213,433

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