Q: What are the factor combinations of the number 5,026,567?

 A:
Positive:   1 x 50265677 x 71808113 x 38665949 x 10258391 x 55237169 x 29743607 x 8281637 x 78911183 x 4249
Negative: -1 x -5026567-7 x -718081-13 x -386659-49 x -102583-91 x -55237-169 x -29743-607 x -8281-637 x -7891-1183 x -4249


How do I find the factor combinations of the number 5,026,567?

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 5,026,567, 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 5,026,567
-1 -5,026,567

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 5,026,567.

Example:
1 x 5,026,567 = 5,026,567
and
-1 x -5,026,567 = 5,026,567
Notice both answers equal 5,026,567

With that explanation out of the way, let's continue. Next, we take the number 5,026,567 and divide it by 2:

5,026,567 ÷ 2 = 2,513,283.5

If the quotient is a whole number, then 2 and 2,513,283.5 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 5,026,567
-1 -5,026,567

Now, we try dividing 5,026,567 by 3:

5,026,567 ÷ 3 = 1,675,522.3333

If the quotient is a whole number, then 3 and 1,675,522.3333 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 5,026,567
-1 -5,026,567

Let's try dividing by 4:

5,026,567 ÷ 4 = 1,256,641.75

If the quotient is a whole number, then 4 and 1,256,641.75 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 5,026,567
-1 5,026,567
Keep dividing by the next highest number until you cannot divide anymore.

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

171349911696076371,1834,2497,8918,28129,74355,237102,583386,659718,0815,026,567
-1-7-13-49-91-169-607-637-1,183-4,249-7,891-8,281-29,743-55,237-102,583-386,659-718,081-5,026,567

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