Q: What are the factor combinations of the number 289,984,135?

 A:
Positive:   1 x 2899841355 x 579968277 x 4142630535 x 8285261331 x 8760851655 x 1752172317 x 12515511585 x 25031
Negative: -1 x -289984135-5 x -57996827-7 x -41426305-35 x -8285261-331 x -876085-1655 x -175217-2317 x -125155-11585 x -25031


How do I find the factor combinations of the number 289,984,135?

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 289,984,135, 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.

1 289,984,135
-1 -289,984,135

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 289,984,135.

Example:
1 x 289,984,135 = 289,984,135
and
-1 x -289,984,135 = 289,984,135
Notice both answers equal 289,984,135

With that explanation out of the way, let's continue. Next, we take the number 289,984,135 and divide it by 2:

289,984,135 ÷ 2 = 144,992,067.5

If the quotient is a whole number, then 2 and 144,992,067.5 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:

1 289,984,135
-1 -289,984,135

Now, we try dividing 289,984,135 by 3:

289,984,135 ÷ 3 = 96,661,378.3333

If the quotient is a whole number, then 3 and 96,661,378.3333 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:

1 289,984,135
-1 -289,984,135

Let's try dividing by 4:

289,984,135 ÷ 4 = 72,496,033.75

If the quotient is a whole number, then 4 and 72,496,033.75 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:

1 289,984,135
-1 289,984,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157353311,6552,31711,58525,031125,155175,217876,0858,285,26141,426,30557,996,827289,984,135
-1-5-7-35-331-1,655-2,317-11,585-25,031-125,155-175,217-876,085-8,285,261-41,426,305-57,996,827-289,984,135

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