Q: What are the factor combinations of the number 129,921,643?

 A:
Positive:   1 x 12992164361 x 212986367 x 193912983 x 1565321383 x 3392214087 x 317895063 x 256615561 x 23363
Negative: -1 x -129921643-61 x -2129863-67 x -1939129-83 x -1565321-383 x -339221-4087 x -31789-5063 x -25661-5561 x -23363


How do I find the factor combinations of the number 129,921,643?

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 129,921,643, 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.

1 129,921,643
-1 -129,921,643

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 129,921,643.

Example:
1 x 129,921,643 = 129,921,643
and
-1 x -129,921,643 = 129,921,643
Notice both answers equal 129,921,643

With that explanation out of the way, let's continue. Next, we take the number 129,921,643 and divide it by 2:

129,921,643 ÷ 2 = 64,960,821.5

If the quotient is a whole number, then 2 and 64,960,821.5 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:

1 129,921,643
-1 -129,921,643

Now, we try dividing 129,921,643 by 3:

129,921,643 ÷ 3 = 43,307,214.3333

If the quotient is a whole number, then 3 and 43,307,214.3333 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:

1 129,921,643
-1 -129,921,643

Let's try dividing by 4:

129,921,643 ÷ 4 = 32,480,410.75

If the quotient is a whole number, then 4 and 32,480,410.75 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:

1 129,921,643
-1 129,921,643
Keep dividing by the next highest number until you cannot divide anymore.

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

16167833834,0875,0635,56123,36325,66131,789339,2211,565,3211,939,1292,129,863129,921,643
-1-61-67-83-383-4,087-5,063-5,561-23,363-25,661-31,789-339,221-1,565,321-1,939,129-2,129,863-129,921,643

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