Q: What are the factor combinations of the number 20,315,255?

 A:
Positive:   1 x 203152555 x 406305117 x 119501585 x 239003289 x 70295827 x 245651445 x 140594135 x 4913
Negative: -1 x -20315255-5 x -4063051-17 x -1195015-85 x -239003-289 x -70295-827 x -24565-1445 x -14059-4135 x -4913


How do I find the factor combinations of the number 20,315,255?

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 20,315,255, 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 20,315,255
-1 -20,315,255

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 20,315,255.

Example:
1 x 20,315,255 = 20,315,255
and
-1 x -20,315,255 = 20,315,255
Notice both answers equal 20,315,255

With that explanation out of the way, let's continue. Next, we take the number 20,315,255 and divide it by 2:

20,315,255 ÷ 2 = 10,157,627.5

If the quotient is a whole number, then 2 and 10,157,627.5 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 20,315,255
-1 -20,315,255

Now, we try dividing 20,315,255 by 3:

20,315,255 ÷ 3 = 6,771,751.6667

If the quotient is a whole number, then 3 and 6,771,751.6667 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 20,315,255
-1 -20,315,255

Let's try dividing by 4:

20,315,255 ÷ 4 = 5,078,813.75

If the quotient is a whole number, then 4 and 5,078,813.75 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 20,315,255
-1 20,315,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852898271,4454,1354,91314,05924,56570,295239,0031,195,0154,063,05120,315,255
-1-5-17-85-289-827-1,445-4,135-4,913-14,059-24,565-70,295-239,003-1,195,015-4,063,051-20,315,255

More Examples

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