Q: What are the factor combinations of the number 244,733,915?

 A:
Positive:   1 x 2447339155 x 4894678323 x 1064060567 x 3652745115 x 2128121335 x 730549529 x 4626351381 x 1772151541 x 1588152645 x 925276905 x 354437705 x 31763
Negative: -1 x -244733915-5 x -48946783-23 x -10640605-67 x -3652745-115 x -2128121-335 x -730549-529 x -462635-1381 x -177215-1541 x -158815-2645 x -92527-6905 x -35443-7705 x -31763


How do I find the factor combinations of the number 244,733,915?

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 244,733,915, 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.

1 244,733,915
-1 -244,733,915

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 244,733,915.

Example:
1 x 244,733,915 = 244,733,915
and
-1 x -244,733,915 = 244,733,915
Notice both answers equal 244,733,915

With that explanation out of the way, let's continue. Next, we take the number 244,733,915 and divide it by 2:

244,733,915 ÷ 2 = 122,366,957.5

If the quotient is a whole number, then 2 and 122,366,957.5 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:

1 244,733,915
-1 -244,733,915

Now, we try dividing 244,733,915 by 3:

244,733,915 ÷ 3 = 81,577,971.6667

If the quotient is a whole number, then 3 and 81,577,971.6667 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:

1 244,733,915
-1 -244,733,915

Let's try dividing by 4:

244,733,915 ÷ 4 = 61,183,478.75

If the quotient is a whole number, then 4 and 61,183,478.75 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:

1 244,733,915
-1 244,733,915
Keep dividing by the next highest number until you cannot divide anymore.

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

1523671153355291,3811,5412,6456,9057,70531,76335,44392,527158,815177,215462,635730,5492,128,1213,652,74510,640,60548,946,783244,733,915
-1-5-23-67-115-335-529-1,381-1,541-2,645-6,905-7,705-31,763-35,443-92,527-158,815-177,215-462,635-730,549-2,128,121-3,652,745-10,640,605-48,946,783-244,733,915

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