Q: What are the factor combinations of the number 244,416,745?

 A:
Positive:   1 x 2444167455 x 4888334923 x 10626815115 x 2125363911 x 2682952333 x 1047654555 x 5365911665 x 20953
Negative: -1 x -244416745-5 x -48883349-23 x -10626815-115 x -2125363-911 x -268295-2333 x -104765-4555 x -53659-11665 x -20953


How do I find the factor combinations of the number 244,416,745?

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 244,416,745, 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.

1 244,416,745
-1 -244,416,745

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 244,416,745.

Example:
1 x 244,416,745 = 244,416,745
and
-1 x -244,416,745 = 244,416,745
Notice both answers equal 244,416,745

With that explanation out of the way, let's continue. Next, we take the number 244,416,745 and divide it by 2:

244,416,745 ÷ 2 = 122,208,372.5

If the quotient is a whole number, then 2 and 122,208,372.5 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:

1 244,416,745
-1 -244,416,745

Now, we try dividing 244,416,745 by 3:

244,416,745 ÷ 3 = 81,472,248.3333

If the quotient is a whole number, then 3 and 81,472,248.3333 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:

1 244,416,745
-1 -244,416,745

Let's try dividing by 4:

244,416,745 ÷ 4 = 61,104,186.25

If the quotient is a whole number, then 4 and 61,104,186.25 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:

1 244,416,745
-1 244,416,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15231159112,3334,55511,66520,95353,659104,765268,2952,125,36310,626,81548,883,349244,416,745
-1-5-23-115-911-2,333-4,555-11,665-20,953-53,659-104,765-268,295-2,125,363-10,626,815-48,883,349-244,416,745

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