Q: What are the factor combinations of the number 5,016,865?

 A:
Positive:   1 x 50168655 x 10033737 x 71669535 x 14333949 x 102385245 x 20477
Negative: -1 x -5016865-5 x -1003373-7 x -716695-35 x -143339-49 x -102385-245 x -20477


How do I find the factor combinations of the number 5,016,865?

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 5,016,865, 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 5,016,865
-1 -5,016,865

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 5,016,865.

Example:
1 x 5,016,865 = 5,016,865
and
-1 x -5,016,865 = 5,016,865
Notice both answers equal 5,016,865

With that explanation out of the way, let's continue. Next, we take the number 5,016,865 and divide it by 2:

5,016,865 ÷ 2 = 2,508,432.5

If the quotient is a whole number, then 2 and 2,508,432.5 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 5,016,865
-1 -5,016,865

Now, we try dividing 5,016,865 by 3:

5,016,865 ÷ 3 = 1,672,288.3333

If the quotient is a whole number, then 3 and 1,672,288.3333 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 5,016,865
-1 -5,016,865

Let's try dividing by 4:

5,016,865 ÷ 4 = 1,254,216.25

If the quotient is a whole number, then 4 and 1,254,216.25 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 5,016,865
-1 5,016,865
Keep dividing by the next highest number until you cannot divide anymore.

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

157354924520,477102,385143,339716,6951,003,3735,016,865
-1-5-7-35-49-245-20,477-102,385-143,339-716,695-1,003,373-5,016,865

More Examples

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