Q: What are the factor combinations of the number 20,727,245?

 A:
Positive:   1 x 207272455 x 41454497 x 296103511 x 188429535 x 59220749 x 42300555 x 37685977 x 269185245 x 84601385 x 53837539 x 384552695 x 7691
Negative: -1 x -20727245-5 x -4145449-7 x -2961035-11 x -1884295-35 x -592207-49 x -423005-55 x -376859-77 x -269185-245 x -84601-385 x -53837-539 x -38455-2695 x -7691


How do I find the factor combinations of the number 20,727,245?

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 20,727,245, 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 20,727,245
-1 -20,727,245

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 20,727,245.

Example:
1 x 20,727,245 = 20,727,245
and
-1 x -20,727,245 = 20,727,245
Notice both answers equal 20,727,245

With that explanation out of the way, let's continue. Next, we take the number 20,727,245 and divide it by 2:

20,727,245 ÷ 2 = 10,363,622.5

If the quotient is a whole number, then 2 and 10,363,622.5 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 20,727,245
-1 -20,727,245

Now, we try dividing 20,727,245 by 3:

20,727,245 ÷ 3 = 6,909,081.6667

If the quotient is a whole number, then 3 and 6,909,081.6667 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 20,727,245
-1 -20,727,245

Let's try dividing by 4:

20,727,245 ÷ 4 = 5,181,811.25

If the quotient is a whole number, then 4 and 5,181,811.25 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 20,727,245
-1 20,727,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15711354955772453855392,6957,69138,45553,83784,601269,185376,859423,005592,2071,884,2952,961,0354,145,44920,727,245
-1-5-7-11-35-49-55-77-245-385-539-2,695-7,691-38,455-53,837-84,601-269,185-376,859-423,005-592,207-1,884,295-2,961,035-4,145,449-20,727,245

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