Q: What are the factor combinations of the number 20,321,015?

 A:
Positive:   1 x 203210155 x 406420311 x 184736513 x 156315555 x 36947365 x 31263197 x 209495143 x 142105293 x 69355485 x 41899715 x 284211067 x 190451261 x 161151465 x 138713223 x 63053809 x 5335
Negative: -1 x -20321015-5 x -4064203-11 x -1847365-13 x -1563155-55 x -369473-65 x -312631-97 x -209495-143 x -142105-293 x -69355-485 x -41899-715 x -28421-1067 x -19045-1261 x -16115-1465 x -13871-3223 x -6305-3809 x -5335


How do I find the factor combinations of the number 20,321,015?

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 20,321,015, 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 20,321,015
-1 -20,321,015

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 20,321,015.

Example:
1 x 20,321,015 = 20,321,015
and
-1 x -20,321,015 = 20,321,015
Notice both answers equal 20,321,015

With that explanation out of the way, let's continue. Next, we take the number 20,321,015 and divide it by 2:

20,321,015 ÷ 2 = 10,160,507.5

If the quotient is a whole number, then 2 and 10,160,507.5 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 20,321,015
-1 -20,321,015

Now, we try dividing 20,321,015 by 3:

20,321,015 ÷ 3 = 6,773,671.6667

If the quotient is a whole number, then 3 and 6,773,671.6667 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 20,321,015
-1 -20,321,015

Let's try dividing by 4:

20,321,015 ÷ 4 = 5,080,253.75

If the quotient is a whole number, then 4 and 5,080,253.75 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 20,321,015
-1 20,321,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1511135565971432934857151,0671,2611,4653,2233,8095,3356,30513,87116,11519,04528,42141,89969,355142,105209,495312,631369,4731,563,1551,847,3654,064,20320,321,015
-1-5-11-13-55-65-97-143-293-485-715-1,067-1,261-1,465-3,223-3,809-5,335-6,305-13,871-16,115-19,045-28,421-41,899-69,355-142,105-209,495-312,631-369,473-1,563,155-1,847,365-4,064,203-20,321,015

More Examples

Here are some more numbers to try:

20,321,01320,321,01420,321,01620,321,017
Try the factor calculator

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