Q: What are the factor combinations of the number 56,552,405?

 A:
Positive:   1 x 565524055 x 113104817 x 807891513 x 435018535 x 161578365 x 87003791 x 621455455 x 124291
Negative: -1 x -56552405-5 x -11310481-7 x -8078915-13 x -4350185-35 x -1615783-65 x -870037-91 x -621455-455 x -124291


How do I find the factor combinations of the number 56,552,405?

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 56,552,405, 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 56,552,405
-1 -56,552,405

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 56,552,405.

Example:
1 x 56,552,405 = 56,552,405
and
-1 x -56,552,405 = 56,552,405
Notice both answers equal 56,552,405

With that explanation out of the way, let's continue. Next, we take the number 56,552,405 and divide it by 2:

56,552,405 ÷ 2 = 28,276,202.5

If the quotient is a whole number, then 2 and 28,276,202.5 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 56,552,405
-1 -56,552,405

Now, we try dividing 56,552,405 by 3:

56,552,405 ÷ 3 = 18,850,801.6667

If the quotient is a whole number, then 3 and 18,850,801.6667 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 56,552,405
-1 -56,552,405

Let's try dividing by 4:

56,552,405 ÷ 4 = 14,138,101.25

If the quotient is a whole number, then 4 and 14,138,101.25 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 56,552,405
-1 56,552,405
Keep dividing by the next highest number until you cannot divide anymore.

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

15713356591455124,291621,455870,0371,615,7834,350,1858,078,91511,310,48156,552,405
-1-5-7-13-35-65-91-455-124,291-621,455-870,037-1,615,783-4,350,185-8,078,915-11,310,481-56,552,405

More Examples

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