Q: What are the factor combinations of the number 246,158,197?

 A:
Positive:   1 x 24615819731 x 7940587499 x 49330315469 x 15913
Negative: -1 x -246158197-31 x -7940587-499 x -493303-15469 x -15913


How do I find the factor combinations of the number 246,158,197?

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 246,158,197, 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.

1 246,158,197
-1 -246,158,197

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 246,158,197.

Example:
1 x 246,158,197 = 246,158,197
and
-1 x -246,158,197 = 246,158,197
Notice both answers equal 246,158,197

With that explanation out of the way, let's continue. Next, we take the number 246,158,197 and divide it by 2:

246,158,197 ÷ 2 = 123,079,098.5

If the quotient is a whole number, then 2 and 123,079,098.5 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:

1 246,158,197
-1 -246,158,197

Now, we try dividing 246,158,197 by 3:

246,158,197 ÷ 3 = 82,052,732.3333

If the quotient is a whole number, then 3 and 82,052,732.3333 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:

1 246,158,197
-1 -246,158,197

Let's try dividing by 4:

246,158,197 ÷ 4 = 61,539,549.25

If the quotient is a whole number, then 4 and 61,539,549.25 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:

1 246,158,197
-1 246,158,197
Keep dividing by the next highest number until you cannot divide anymore.

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

13149915,46915,913493,3037,940,587246,158,197
-1-31-499-15,469-15,913-493,303-7,940,587-246,158,197

More Examples

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