Q: What are the factor combinations of the number 5,316,563?

 A:
Positive:   1 x 53165637 x 75950917 x 31273943 x 123641119 x 44677301 x 17663731 x 72731039 x 5117
Negative: -1 x -5316563-7 x -759509-17 x -312739-43 x -123641-119 x -44677-301 x -17663-731 x -7273-1039 x -5117


How do I find the factor combinations of the number 5,316,563?

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 5,316,563, 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 5,316,563
-1 -5,316,563

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 5,316,563.

Example:
1 x 5,316,563 = 5,316,563
and
-1 x -5,316,563 = 5,316,563
Notice both answers equal 5,316,563

With that explanation out of the way, let's continue. Next, we take the number 5,316,563 and divide it by 2:

5,316,563 ÷ 2 = 2,658,281.5

If the quotient is a whole number, then 2 and 2,658,281.5 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 5,316,563
-1 -5,316,563

Now, we try dividing 5,316,563 by 3:

5,316,563 ÷ 3 = 1,772,187.6667

If the quotient is a whole number, then 3 and 1,772,187.6667 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 5,316,563
-1 -5,316,563

Let's try dividing by 4:

5,316,563 ÷ 4 = 1,329,140.75

If the quotient is a whole number, then 4 and 1,329,140.75 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 5,316,563
-1 5,316,563
Keep dividing by the next highest number until you cannot divide anymore.

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

1717431193017311,0395,1177,27317,66344,677123,641312,739759,5095,316,563
-1-7-17-43-119-301-731-1,039-5,117-7,273-17,663-44,677-123,641-312,739-759,509-5,316,563

More Examples

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