Q: What are the factor combinations of the number 246,264,269?

 A:
Positive:   1 x 2462642691861 x 132329
Negative: -1 x -246264269-1861 x -132329


How do I find the factor combinations of the number 246,264,269?

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 246,264,269, 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.

1 246,264,269
-1 -246,264,269

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 246,264,269.

Example:
1 x 246,264,269 = 246,264,269
and
-1 x -246,264,269 = 246,264,269
Notice both answers equal 246,264,269

With that explanation out of the way, let's continue. Next, we take the number 246,264,269 and divide it by 2:

246,264,269 ÷ 2 = 123,132,134.5

If the quotient is a whole number, then 2 and 123,132,134.5 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:

1 246,264,269
-1 -246,264,269

Now, we try dividing 246,264,269 by 3:

246,264,269 ÷ 3 = 82,088,089.6667

If the quotient is a whole number, then 3 and 82,088,089.6667 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:

1 246,264,269
-1 -246,264,269

Let's try dividing by 4:

246,264,269 ÷ 4 = 61,566,067.25

If the quotient is a whole number, then 4 and 61,566,067.25 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:

1 246,264,269
-1 246,264,269
Keep dividing by the next highest number until you cannot divide anymore.

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

11,861132,329246,264,269
-1-1,861-132,329-246,264,269

More Examples

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