Q: What are the factor combinations of the number 56,022,463?

 A:
Positive:   1 x 560224637 x 800320917 x 329543973 x 767431119 x 470777511 x 1096331241 x 451436449 x 8687
Negative: -1 x -56022463-7 x -8003209-17 x -3295439-73 x -767431-119 x -470777-511 x -109633-1241 x -45143-6449 x -8687


How do I find the factor combinations of the number 56,022,463?

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 56,022,463, 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 56,022,463
-1 -56,022,463

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 56,022,463.

Example:
1 x 56,022,463 = 56,022,463
and
-1 x -56,022,463 = 56,022,463
Notice both answers equal 56,022,463

With that explanation out of the way, let's continue. Next, we take the number 56,022,463 and divide it by 2:

56,022,463 ÷ 2 = 28,011,231.5

If the quotient is a whole number, then 2 and 28,011,231.5 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 56,022,463
-1 -56,022,463

Now, we try dividing 56,022,463 by 3:

56,022,463 ÷ 3 = 18,674,154.3333

If the quotient is a whole number, then 3 and 18,674,154.3333 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 56,022,463
-1 -56,022,463

Let's try dividing by 4:

56,022,463 ÷ 4 = 14,005,615.75

If the quotient is a whole number, then 4 and 14,005,615.75 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 56,022,463
-1 56,022,463
Keep dividing by the next highest number until you cannot divide anymore.

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

1717731195111,2416,4498,68745,143109,633470,777767,4313,295,4398,003,20956,022,463
-1-7-17-73-119-511-1,241-6,449-8,687-45,143-109,633-470,777-767,431-3,295,439-8,003,209-56,022,463

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