Q: What are the factor combinations of the number 240,823,445?

 A:
Positive:   1 x 2408234455 x 4816468917 x 1416608585 x 2833217541 x 4451452705 x 890295237 x 459859197 x 26185
Negative: -1 x -240823445-5 x -48164689-17 x -14166085-85 x -2833217-541 x -445145-2705 x -89029-5237 x -45985-9197 x -26185


How do I find the factor combinations of the number 240,823,445?

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 240,823,445, 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.

1 240,823,445
-1 -240,823,445

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 240,823,445.

Example:
1 x 240,823,445 = 240,823,445
and
-1 x -240,823,445 = 240,823,445
Notice both answers equal 240,823,445

With that explanation out of the way, let's continue. Next, we take the number 240,823,445 and divide it by 2:

240,823,445 ÷ 2 = 120,411,722.5

If the quotient is a whole number, then 2 and 120,411,722.5 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:

1 240,823,445
-1 -240,823,445

Now, we try dividing 240,823,445 by 3:

240,823,445 ÷ 3 = 80,274,481.6667

If the quotient is a whole number, then 3 and 80,274,481.6667 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:

1 240,823,445
-1 -240,823,445

Let's try dividing by 4:

240,823,445 ÷ 4 = 60,205,861.25

If the quotient is a whole number, then 4 and 60,205,861.25 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:

1 240,823,445
-1 240,823,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1517855412,7055,2379,19726,18545,98589,029445,1452,833,21714,166,08548,164,689240,823,445
-1-5-17-85-541-2,705-5,237-9,197-26,185-45,985-89,029-445,145-2,833,217-14,166,085-48,164,689-240,823,445

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