Q: What are the factor combinations of the number 20,917,385?

 A:
Positive:   1 x 209173855 x 418347719 x 110091595 x 220183421 x 49685523 x 399952105 x 99372615 x 7999
Negative: -1 x -20917385-5 x -4183477-19 x -1100915-95 x -220183-421 x -49685-523 x -39995-2105 x -9937-2615 x -7999


How do I find the factor combinations of the number 20,917,385?

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 20,917,385, 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 20,917,385
-1 -20,917,385

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 20,917,385.

Example:
1 x 20,917,385 = 20,917,385
and
-1 x -20,917,385 = 20,917,385
Notice both answers equal 20,917,385

With that explanation out of the way, let's continue. Next, we take the number 20,917,385 and divide it by 2:

20,917,385 ÷ 2 = 10,458,692.5

If the quotient is a whole number, then 2 and 10,458,692.5 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 20,917,385
-1 -20,917,385

Now, we try dividing 20,917,385 by 3:

20,917,385 ÷ 3 = 6,972,461.6667

If the quotient is a whole number, then 3 and 6,972,461.6667 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 20,917,385
-1 -20,917,385

Let's try dividing by 4:

20,917,385 ÷ 4 = 5,229,346.25

If the quotient is a whole number, then 4 and 5,229,346.25 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 20,917,385
-1 20,917,385
Keep dividing by the next highest number until you cannot divide anymore.

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

1519954215232,1052,6157,9999,93739,99549,685220,1831,100,9154,183,47720,917,385
-1-5-19-95-421-523-2,105-2,615-7,999-9,937-39,995-49,685-220,183-1,100,915-4,183,477-20,917,385

More Examples

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