Q: What are the factor combinations of the number 20,095,715?

 A:
Positive:   1 x 200957155 x 4019143281 x 715151405 x 14303
Negative: -1 x -20095715-5 x -4019143-281 x -71515-1405 x -14303


How do I find the factor combinations of the number 20,095,715?

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 20,095,715, 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 20,095,715
-1 -20,095,715

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 20,095,715.

Example:
1 x 20,095,715 = 20,095,715
and
-1 x -20,095,715 = 20,095,715
Notice both answers equal 20,095,715

With that explanation out of the way, let's continue. Next, we take the number 20,095,715 and divide it by 2:

20,095,715 ÷ 2 = 10,047,857.5

If the quotient is a whole number, then 2 and 10,047,857.5 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 20,095,715
-1 -20,095,715

Now, we try dividing 20,095,715 by 3:

20,095,715 ÷ 3 = 6,698,571.6667

If the quotient is a whole number, then 3 and 6,698,571.6667 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 20,095,715
-1 -20,095,715

Let's try dividing by 4:

20,095,715 ÷ 4 = 5,023,928.75

If the quotient is a whole number, then 4 and 5,023,928.75 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 20,095,715
-1 20,095,715
Keep dividing by the next highest number until you cannot divide anymore.

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

152811,40514,30371,5154,019,14320,095,715
-1-5-281-1,405-14,303-71,515-4,019,143-20,095,715

More Examples

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