Q: What are the factor combinations of the number 244,122,431?

 A:
Positive:   1 x 2441224317 x 3487463317 x 1436014319 x 12848549119 x 2051449133 x 1835507323 x 7557972261 x 107971
Negative: -1 x -244122431-7 x -34874633-17 x -14360143-19 x -12848549-119 x -2051449-133 x -1835507-323 x -755797-2261 x -107971


How do I find the factor combinations of the number 244,122,431?

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 244,122,431, 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.

1 244,122,431
-1 -244,122,431

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 244,122,431.

Example:
1 x 244,122,431 = 244,122,431
and
-1 x -244,122,431 = 244,122,431
Notice both answers equal 244,122,431

With that explanation out of the way, let's continue. Next, we take the number 244,122,431 and divide it by 2:

244,122,431 ÷ 2 = 122,061,215.5

If the quotient is a whole number, then 2 and 122,061,215.5 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:

1 244,122,431
-1 -244,122,431

Now, we try dividing 244,122,431 by 3:

244,122,431 ÷ 3 = 81,374,143.6667

If the quotient is a whole number, then 3 and 81,374,143.6667 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:

1 244,122,431
-1 -244,122,431

Let's try dividing by 4:

244,122,431 ÷ 4 = 61,030,607.75

If the quotient is a whole number, then 4 and 61,030,607.75 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:

1 244,122,431
-1 244,122,431
Keep dividing by the next highest number until you cannot divide anymore.

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

1717191191333232,261107,971755,7971,835,5072,051,44912,848,54914,360,14334,874,633244,122,431
-1-7-17-19-119-133-323-2,261-107,971-755,797-1,835,507-2,051,449-12,848,549-14,360,143-34,874,633-244,122,431

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