Q: What are the factor combinations of the number 244,340,323?

 A:
Positive:   1 x 24434032319 x 1286001771 x 3441413361 x 6768431349 x 1811279533 x 25631
Negative: -1 x -244340323-19 x -12860017-71 x -3441413-361 x -676843-1349 x -181127-9533 x -25631


How do I find the factor combinations of the number 244,340,323?

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 244,340,323, 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.

1 244,340,323
-1 -244,340,323

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 244,340,323.

Example:
1 x 244,340,323 = 244,340,323
and
-1 x -244,340,323 = 244,340,323
Notice both answers equal 244,340,323

With that explanation out of the way, let's continue. Next, we take the number 244,340,323 and divide it by 2:

244,340,323 ÷ 2 = 122,170,161.5

If the quotient is a whole number, then 2 and 122,170,161.5 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:

1 244,340,323
-1 -244,340,323

Now, we try dividing 244,340,323 by 3:

244,340,323 ÷ 3 = 81,446,774.3333

If the quotient is a whole number, then 3 and 81,446,774.3333 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:

1 244,340,323
-1 -244,340,323

Let's try dividing by 4:

244,340,323 ÷ 4 = 61,085,080.75

If the quotient is a whole number, then 4 and 61,085,080.75 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:

1 244,340,323
-1 244,340,323
Keep dividing by the next highest number until you cannot divide anymore.

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

119713611,3499,53325,631181,127676,8433,441,41312,860,017244,340,323
-1-19-71-361-1,349-9,533-25,631-181,127-676,843-3,441,413-12,860,017-244,340,323

More Examples

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