Q: What are the factor combinations of the number 245,021,663?

 A:
Positive:   1 x 24502166317 x 1441303919 x 12895877317 x 772939323 x 7585812393 x 1023915389 x 454676023 x 40681
Negative: -1 x -245021663-17 x -14413039-19 x -12895877-317 x -772939-323 x -758581-2393 x -102391-5389 x -45467-6023 x -40681


How do I find the factor combinations of the number 245,021,663?

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 245,021,663, 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.

1 245,021,663
-1 -245,021,663

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 245,021,663.

Example:
1 x 245,021,663 = 245,021,663
and
-1 x -245,021,663 = 245,021,663
Notice both answers equal 245,021,663

With that explanation out of the way, let's continue. Next, we take the number 245,021,663 and divide it by 2:

245,021,663 ÷ 2 = 122,510,831.5

If the quotient is a whole number, then 2 and 122,510,831.5 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:

1 245,021,663
-1 -245,021,663

Now, we try dividing 245,021,663 by 3:

245,021,663 ÷ 3 = 81,673,887.6667

If the quotient is a whole number, then 3 and 81,673,887.6667 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:

1 245,021,663
-1 -245,021,663

Let's try dividing by 4:

245,021,663 ÷ 4 = 61,255,415.75

If the quotient is a whole number, then 4 and 61,255,415.75 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:

1 245,021,663
-1 245,021,663
Keep dividing by the next highest number until you cannot divide anymore.

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

117193173232,3935,3896,02340,68145,467102,391758,581772,93912,895,87714,413,039245,021,663
-1-17-19-317-323-2,393-5,389-6,023-40,681-45,467-102,391-758,581-772,939-12,895,877-14,413,039-245,021,663

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