Q: What are the factor combinations of the number 56,006,509?

 A:
Positive:   1 x 5600650913 x 430819319 x 2947711197 x 284297247 x 2267471151 x 486592561 x 218693743 x 14963
Negative: -1 x -56006509-13 x -4308193-19 x -2947711-197 x -284297-247 x -226747-1151 x -48659-2561 x -21869-3743 x -14963


How do I find the factor combinations of the number 56,006,509?

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 56,006,509, 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 56,006,509
-1 -56,006,509

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 56,006,509.

Example:
1 x 56,006,509 = 56,006,509
and
-1 x -56,006,509 = 56,006,509
Notice both answers equal 56,006,509

With that explanation out of the way, let's continue. Next, we take the number 56,006,509 and divide it by 2:

56,006,509 ÷ 2 = 28,003,254.5

If the quotient is a whole number, then 2 and 28,003,254.5 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 56,006,509
-1 -56,006,509

Now, we try dividing 56,006,509 by 3:

56,006,509 ÷ 3 = 18,668,836.3333

If the quotient is a whole number, then 3 and 18,668,836.3333 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 56,006,509
-1 -56,006,509

Let's try dividing by 4:

56,006,509 ÷ 4 = 14,001,627.25

If the quotient is a whole number, then 4 and 14,001,627.25 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 56,006,509
-1 56,006,509
Keep dividing by the next highest number until you cannot divide anymore.

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

113191972471,1512,5613,74314,96321,86948,659226,747284,2972,947,7114,308,19356,006,509
-1-13-19-197-247-1,151-2,561-3,743-14,963-21,869-48,659-226,747-284,297-2,947,711-4,308,193-56,006,509

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