Q: What are the factor combinations of the number 20,754,307?

 A:
Positive:   1 x 207543077 x 296490147 x 441581199 x 104293317 x 65471329 x 630831393 x 148992219 x 9353
Negative: -1 x -20754307-7 x -2964901-47 x -441581-199 x -104293-317 x -65471-329 x -63083-1393 x -14899-2219 x -9353


How do I find the factor combinations of the number 20,754,307?

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 20,754,307, 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 20,754,307
-1 -20,754,307

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 20,754,307.

Example:
1 x 20,754,307 = 20,754,307
and
-1 x -20,754,307 = 20,754,307
Notice both answers equal 20,754,307

With that explanation out of the way, let's continue. Next, we take the number 20,754,307 and divide it by 2:

20,754,307 ÷ 2 = 10,377,153.5

If the quotient is a whole number, then 2 and 10,377,153.5 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 20,754,307
-1 -20,754,307

Now, we try dividing 20,754,307 by 3:

20,754,307 ÷ 3 = 6,918,102.3333

If the quotient is a whole number, then 3 and 6,918,102.3333 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 20,754,307
-1 -20,754,307

Let's try dividing by 4:

20,754,307 ÷ 4 = 5,188,576.75

If the quotient is a whole number, then 4 and 5,188,576.75 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 20,754,307
-1 20,754,307
Keep dividing by the next highest number until you cannot divide anymore.

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

17471993173291,3932,2199,35314,89963,08365,471104,293441,5812,964,90120,754,307
-1-7-47-199-317-329-1,393-2,219-9,353-14,899-63,083-65,471-104,293-441,581-2,964,901-20,754,307

More Examples

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