Q: What are the factor combinations of the number 5,090,965?

 A:
Positive:   1 x 50909655 x 101819311 x 46281555 x 92563151 x 33715613 x 8305755 x 67431661 x 3065
Negative: -1 x -5090965-5 x -1018193-11 x -462815-55 x -92563-151 x -33715-613 x -8305-755 x -6743-1661 x -3065


How do I find the factor combinations of the number 5,090,965?

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 5,090,965, 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 5,090,965
-1 -5,090,965

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 5,090,965.

Example:
1 x 5,090,965 = 5,090,965
and
-1 x -5,090,965 = 5,090,965
Notice both answers equal 5,090,965

With that explanation out of the way, let's continue. Next, we take the number 5,090,965 and divide it by 2:

5,090,965 ÷ 2 = 2,545,482.5

If the quotient is a whole number, then 2 and 2,545,482.5 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 5,090,965
-1 -5,090,965

Now, we try dividing 5,090,965 by 3:

5,090,965 ÷ 3 = 1,696,988.3333

If the quotient is a whole number, then 3 and 1,696,988.3333 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 5,090,965
-1 -5,090,965

Let's try dividing by 4:

5,090,965 ÷ 4 = 1,272,741.25

If the quotient is a whole number, then 4 and 1,272,741.25 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 5,090,965
-1 5,090,965
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551516137551,6613,0656,7438,30533,71592,563462,8151,018,1935,090,965
-1-5-11-55-151-613-755-1,661-3,065-6,743-8,305-33,715-92,563-462,815-1,018,193-5,090,965

More Examples

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