Q: What are the factor combinations of the number 239,129,639?

 A:
Positive:   1 x 2391296397 x 34161377163 x 14670531141 x 209579
Negative: -1 x -239129639-7 x -34161377-163 x -1467053-1141 x -209579


How do I find the factor combinations of the number 239,129,639?

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 239,129,639, 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.

1 239,129,639
-1 -239,129,639

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 239,129,639.

Example:
1 x 239,129,639 = 239,129,639
and
-1 x -239,129,639 = 239,129,639
Notice both answers equal 239,129,639

With that explanation out of the way, let's continue. Next, we take the number 239,129,639 and divide it by 2:

239,129,639 ÷ 2 = 119,564,819.5

If the quotient is a whole number, then 2 and 119,564,819.5 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:

1 239,129,639
-1 -239,129,639

Now, we try dividing 239,129,639 by 3:

239,129,639 ÷ 3 = 79,709,879.6667

If the quotient is a whole number, then 3 and 79,709,879.6667 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:

1 239,129,639
-1 -239,129,639

Let's try dividing by 4:

239,129,639 ÷ 4 = 59,782,409.75

If the quotient is a whole number, then 4 and 59,782,409.75 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:

1 239,129,639
-1 239,129,639
Keep dividing by the next highest number until you cannot divide anymore.

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

171631,141209,5791,467,05334,161,377239,129,639
-1-7-163-1,141-209,579-1,467,053-34,161,377-239,129,639

More Examples

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