Q: What are the factor combinations of the number 5,012,665?

 A:
Positive:   1 x 50126655 x 10025337 x 71609535 x 143219197 x 25445727 x 6895985 x 50891379 x 3635
Negative: -1 x -5012665-5 x -1002533-7 x -716095-35 x -143219-197 x -25445-727 x -6895-985 x -5089-1379 x -3635


How do I find the factor combinations of the number 5,012,665?

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 5,012,665, 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 5,012,665
-1 -5,012,665

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 5,012,665.

Example:
1 x 5,012,665 = 5,012,665
and
-1 x -5,012,665 = 5,012,665
Notice both answers equal 5,012,665

With that explanation out of the way, let's continue. Next, we take the number 5,012,665 and divide it by 2:

5,012,665 ÷ 2 = 2,506,332.5

If the quotient is a whole number, then 2 and 2,506,332.5 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 5,012,665
-1 -5,012,665

Now, we try dividing 5,012,665 by 3:

5,012,665 ÷ 3 = 1,670,888.3333

If the quotient is a whole number, then 3 and 1,670,888.3333 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 5,012,665
-1 -5,012,665

Let's try dividing by 4:

5,012,665 ÷ 4 = 1,253,166.25

If the quotient is a whole number, then 4 and 1,253,166.25 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 5,012,665
-1 5,012,665
Keep dividing by the next highest number until you cannot divide anymore.

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

157351977279851,3793,6355,0896,89525,445143,219716,0951,002,5335,012,665
-1-5-7-35-197-727-985-1,379-3,635-5,089-6,895-25,445-143,219-716,095-1,002,533-5,012,665

More Examples

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