Q: What are the factor combinations of the number 56,565,509?

 A:
Positive:   1 x 565655097 x 808078711 x 514231913 x 435119377 x 73461791 x 621599143 x 3955631001 x 56509
Negative: -1 x -56565509-7 x -8080787-11 x -5142319-13 x -4351193-77 x -734617-91 x -621599-143 x -395563-1001 x -56509


How do I find the factor combinations of the number 56,565,509?

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 56,565,509, 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 56,565,509
-1 -56,565,509

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 56,565,509.

Example:
1 x 56,565,509 = 56,565,509
and
-1 x -56,565,509 = 56,565,509
Notice both answers equal 56,565,509

With that explanation out of the way, let's continue. Next, we take the number 56,565,509 and divide it by 2:

56,565,509 ÷ 2 = 28,282,754.5

If the quotient is a whole number, then 2 and 28,282,754.5 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 56,565,509
-1 -56,565,509

Now, we try dividing 56,565,509 by 3:

56,565,509 ÷ 3 = 18,855,169.6667

If the quotient is a whole number, then 3 and 18,855,169.6667 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 56,565,509
-1 -56,565,509

Let's try dividing by 4:

56,565,509 ÷ 4 = 14,141,377.25

If the quotient is a whole number, then 4 and 14,141,377.25 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 56,565,509
-1 56,565,509
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,00156,509395,563621,599734,6174,351,1935,142,3198,080,78756,565,509
-1-7-11-13-77-91-143-1,001-56,509-395,563-621,599-734,617-4,351,193-5,142,319-8,080,787-56,565,509

More Examples

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