Q: What are the factor combinations of the number 5,024,965?

 A:
Positive:   1 x 50249655 x 100499311 x 45681555 x 91363211 x 23815433 x 116051055 x 47632165 x 2321
Negative: -1 x -5024965-5 x -1004993-11 x -456815-55 x -91363-211 x -23815-433 x -11605-1055 x -4763-2165 x -2321


How do I find the factor combinations of the number 5,024,965?

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 5,024,965, 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 5,024,965
-1 -5,024,965

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 5,024,965.

Example:
1 x 5,024,965 = 5,024,965
and
-1 x -5,024,965 = 5,024,965
Notice both answers equal 5,024,965

With that explanation out of the way, let's continue. Next, we take the number 5,024,965 and divide it by 2:

5,024,965 ÷ 2 = 2,512,482.5

If the quotient is a whole number, then 2 and 2,512,482.5 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 5,024,965
-1 -5,024,965

Now, we try dividing 5,024,965 by 3:

5,024,965 ÷ 3 = 1,674,988.3333

If the quotient is a whole number, then 3 and 1,674,988.3333 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 5,024,965
-1 -5,024,965

Let's try dividing by 4:

5,024,965 ÷ 4 = 1,256,241.25

If the quotient is a whole number, then 4 and 1,256,241.25 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 5,024,965
-1 5,024,965
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552114331,0552,1652,3214,76311,60523,81591,363456,8151,004,9935,024,965
-1-5-11-55-211-433-1,055-2,165-2,321-4,763-11,605-23,815-91,363-456,815-1,004,993-5,024,965

More Examples

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