Q: What are the factor combinations of the number 20,150,317?

 A:
Positive:   1 x 2015031711 x 183184719 x 106054367 x 300751209 x 96413737 x 273411273 x 158291439 x 14003
Negative: -1 x -20150317-11 x -1831847-19 x -1060543-67 x -300751-209 x -96413-737 x -27341-1273 x -15829-1439 x -14003


How do I find the factor combinations of the number 20,150,317?

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 20,150,317, 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 20,150,317
-1 -20,150,317

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 20,150,317.

Example:
1 x 20,150,317 = 20,150,317
and
-1 x -20,150,317 = 20,150,317
Notice both answers equal 20,150,317

With that explanation out of the way, let's continue. Next, we take the number 20,150,317 and divide it by 2:

20,150,317 ÷ 2 = 10,075,158.5

If the quotient is a whole number, then 2 and 10,075,158.5 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 20,150,317
-1 -20,150,317

Now, we try dividing 20,150,317 by 3:

20,150,317 ÷ 3 = 6,716,772.3333

If the quotient is a whole number, then 3 and 6,716,772.3333 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 20,150,317
-1 -20,150,317

Let's try dividing by 4:

20,150,317 ÷ 4 = 5,037,579.25

If the quotient is a whole number, then 4 and 5,037,579.25 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 20,150,317
-1 20,150,317
Keep dividing by the next highest number until you cannot divide anymore.

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

11119672097371,2731,43914,00315,82927,34196,413300,7511,060,5431,831,84720,150,317
-1-11-19-67-209-737-1,273-1,439-14,003-15,829-27,341-96,413-300,751-1,060,543-1,831,847-20,150,317

More Examples

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