Q: What are the factor combinations of the number 246,016,433?

 A:
Positive:   1 x 24601643313 x 18924341107 x 2299219149 x 16511171187 x 2072591391 x 1768631937 x 12700915431 x 15943
Negative: -1 x -246016433-13 x -18924341-107 x -2299219-149 x -1651117-1187 x -207259-1391 x -176863-1937 x -127009-15431 x -15943


How do I find the factor combinations of the number 246,016,433?

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 246,016,433, 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.

1 246,016,433
-1 -246,016,433

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 246,016,433.

Example:
1 x 246,016,433 = 246,016,433
and
-1 x -246,016,433 = 246,016,433
Notice both answers equal 246,016,433

With that explanation out of the way, let's continue. Next, we take the number 246,016,433 and divide it by 2:

246,016,433 ÷ 2 = 123,008,216.5

If the quotient is a whole number, then 2 and 123,008,216.5 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:

1 246,016,433
-1 -246,016,433

Now, we try dividing 246,016,433 by 3:

246,016,433 ÷ 3 = 82,005,477.6667

If the quotient is a whole number, then 3 and 82,005,477.6667 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:

1 246,016,433
-1 -246,016,433

Let's try dividing by 4:

246,016,433 ÷ 4 = 61,504,108.25

If the quotient is a whole number, then 4 and 61,504,108.25 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:

1 246,016,433
-1 246,016,433
Keep dividing by the next highest number until you cannot divide anymore.

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

1131071491,1871,3911,93715,43115,943127,009176,863207,2591,651,1172,299,21918,924,341246,016,433
-1-13-107-149-1,187-1,391-1,937-15,431-15,943-127,009-176,863-207,259-1,651,117-2,299,219-18,924,341-246,016,433

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