Q: What are the factor combinations of the number 56,550,445?

 A:
Positive:   1 x 565504455 x 113100897 x 807863523 x 245871535 x 1615727115 x 491743161 x 351245805 x 70249
Negative: -1 x -56550445-5 x -11310089-7 x -8078635-23 x -2458715-35 x -1615727-115 x -491743-161 x -351245-805 x -70249


How do I find the factor combinations of the number 56,550,445?

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 56,550,445, 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 56,550,445
-1 -56,550,445

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 56,550,445.

Example:
1 x 56,550,445 = 56,550,445
and
-1 x -56,550,445 = 56,550,445
Notice both answers equal 56,550,445

With that explanation out of the way, let's continue. Next, we take the number 56,550,445 and divide it by 2:

56,550,445 ÷ 2 = 28,275,222.5

If the quotient is a whole number, then 2 and 28,275,222.5 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 56,550,445
-1 -56,550,445

Now, we try dividing 56,550,445 by 3:

56,550,445 ÷ 3 = 18,850,148.3333

If the quotient is a whole number, then 3 and 18,850,148.3333 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 56,550,445
-1 -56,550,445

Let's try dividing by 4:

56,550,445 ÷ 4 = 14,137,611.25

If the quotient is a whole number, then 4 and 14,137,611.25 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 56,550,445
-1 56,550,445
Keep dividing by the next highest number until you cannot divide anymore.

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

157233511516180570,249351,245491,7431,615,7272,458,7158,078,63511,310,08956,550,445
-1-5-7-23-35-115-161-805-70,249-351,245-491,743-1,615,727-2,458,715-8,078,635-11,310,089-56,550,445

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