Q: What are the factor combinations of the number 246,020,675?

 A:
Positive:   1 x 2460206755 x 4920413525 x 9840827269 x 9145751345 x 1829156725 x 36583
Negative: -1 x -246020675-5 x -49204135-25 x -9840827-269 x -914575-1345 x -182915-6725 x -36583


How do I find the factor combinations of the number 246,020,675?

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 246,020,675, 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.

1 246,020,675
-1 -246,020,675

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 246,020,675.

Example:
1 x 246,020,675 = 246,020,675
and
-1 x -246,020,675 = 246,020,675
Notice both answers equal 246,020,675

With that explanation out of the way, let's continue. Next, we take the number 246,020,675 and divide it by 2:

246,020,675 ÷ 2 = 123,010,337.5

If the quotient is a whole number, then 2 and 123,010,337.5 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:

1 246,020,675
-1 -246,020,675

Now, we try dividing 246,020,675 by 3:

246,020,675 ÷ 3 = 82,006,891.6667

If the quotient is a whole number, then 3 and 82,006,891.6667 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:

1 246,020,675
-1 -246,020,675

Let's try dividing by 4:

246,020,675 ÷ 4 = 61,505,168.75

If the quotient is a whole number, then 4 and 61,505,168.75 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:

1 246,020,675
-1 246,020,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15252691,3456,72536,583182,915914,5759,840,82749,204,135246,020,675
-1-5-25-269-1,345-6,725-36,583-182,915-914,575-9,840,827-49,204,135-246,020,675

More Examples

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