Q: What are the factor combinations of the number 20,345,311?

 A:
Positive:   1 x 203453117 x 290647317 x 119678389 x 228599113 x 180047119 x 170969289 x 70399623 x 32657791 x 257211513 x 134471921 x 105912023 x 10057
Negative: -1 x -20345311-7 x -2906473-17 x -1196783-89 x -228599-113 x -180047-119 x -170969-289 x -70399-623 x -32657-791 x -25721-1513 x -13447-1921 x -10591-2023 x -10057


How do I find the factor combinations of the number 20,345,311?

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 20,345,311, 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 20,345,311
-1 -20,345,311

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 20,345,311.

Example:
1 x 20,345,311 = 20,345,311
and
-1 x -20,345,311 = 20,345,311
Notice both answers equal 20,345,311

With that explanation out of the way, let's continue. Next, we take the number 20,345,311 and divide it by 2:

20,345,311 ÷ 2 = 10,172,655.5

If the quotient is a whole number, then 2 and 10,172,655.5 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 20,345,311
-1 -20,345,311

Now, we try dividing 20,345,311 by 3:

20,345,311 ÷ 3 = 6,781,770.3333

If the quotient is a whole number, then 3 and 6,781,770.3333 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 20,345,311
-1 -20,345,311

Let's try dividing by 4:

20,345,311 ÷ 4 = 5,086,327.75

If the quotient is a whole number, then 4 and 5,086,327.75 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 20,345,311
-1 20,345,311
Keep dividing by the next highest number until you cannot divide anymore.

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

1717891131192896237911,5131,9212,02310,05710,59113,44725,72132,65770,399170,969180,047228,5991,196,7832,906,47320,345,311
-1-7-17-89-113-119-289-623-791-1,513-1,921-2,023-10,057-10,591-13,447-25,721-32,657-70,399-170,969-180,047-228,599-1,196,783-2,906,473-20,345,311

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,345,311:


Ask a Question