Q: What are the factor combinations of the number 20,021,645?

 A:
Positive:   1 x 200216455 x 40043297 x 286023535 x 57204749 x 40860571 x 281995245 x 81721355 x 56399497 x 402851151 x 173952485 x 80573479 x 5755
Negative: -1 x -20021645-5 x -4004329-7 x -2860235-35 x -572047-49 x -408605-71 x -281995-245 x -81721-355 x -56399-497 x -40285-1151 x -17395-2485 x -8057-3479 x -5755


How do I find the factor combinations of the number 20,021,645?

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 20,021,645, 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 20,021,645
-1 -20,021,645

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 20,021,645.

Example:
1 x 20,021,645 = 20,021,645
and
-1 x -20,021,645 = 20,021,645
Notice both answers equal 20,021,645

With that explanation out of the way, let's continue. Next, we take the number 20,021,645 and divide it by 2:

20,021,645 ÷ 2 = 10,010,822.5

If the quotient is a whole number, then 2 and 10,010,822.5 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 20,021,645
-1 -20,021,645

Now, we try dividing 20,021,645 by 3:

20,021,645 ÷ 3 = 6,673,881.6667

If the quotient is a whole number, then 3 and 6,673,881.6667 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 20,021,645
-1 -20,021,645

Let's try dividing by 4:

20,021,645 ÷ 4 = 5,005,411.25

If the quotient is a whole number, then 4 and 5,005,411.25 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 20,021,645
-1 20,021,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549712453554971,1512,4853,4795,7558,05717,39540,28556,39981,721281,995408,605572,0472,860,2354,004,32920,021,645
-1-5-7-35-49-71-245-355-497-1,151-2,485-3,479-5,755-8,057-17,395-40,285-56,399-81,721-281,995-408,605-572,047-2,860,235-4,004,329-20,021,645

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,021,645:


Ask a Question