Q: What are the factor combinations of the number 5,636,827?

 A:
Positive:   1 x 56368277 x 80526143 x 13108961 x 92407301 x 18727307 x 18361427 x 132012149 x 2623
Negative: -1 x -5636827-7 x -805261-43 x -131089-61 x -92407-301 x -18727-307 x -18361-427 x -13201-2149 x -2623


How do I find the factor combinations of the number 5,636,827?

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 5,636,827, 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 5,636,827
-1 -5,636,827

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 5,636,827.

Example:
1 x 5,636,827 = 5,636,827
and
-1 x -5,636,827 = 5,636,827
Notice both answers equal 5,636,827

With that explanation out of the way, let's continue. Next, we take the number 5,636,827 and divide it by 2:

5,636,827 ÷ 2 = 2,818,413.5

If the quotient is a whole number, then 2 and 2,818,413.5 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 5,636,827
-1 -5,636,827

Now, we try dividing 5,636,827 by 3:

5,636,827 ÷ 3 = 1,878,942.3333

If the quotient is a whole number, then 3 and 1,878,942.3333 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 5,636,827
-1 -5,636,827

Let's try dividing by 4:

5,636,827 ÷ 4 = 1,409,206.75

If the quotient is a whole number, then 4 and 1,409,206.75 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 5,636,827
-1 5,636,827
Keep dividing by the next highest number until you cannot divide anymore.

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

1743613013074272,1492,62313,20118,36118,72792,407131,089805,2615,636,827
-1-7-43-61-301-307-427-2,149-2,623-13,201-18,361-18,727-92,407-131,089-805,261-5,636,827

More Examples

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