Q: What are the factor combinations of the number 21,367,555?

 A:
Positive:   1 x 213675555 x 427351111 x 194250517 x 125691555 x 38850185 x 251383187 x 114265935 x 22853
Negative: -1 x -21367555-5 x -4273511-11 x -1942505-17 x -1256915-55 x -388501-85 x -251383-187 x -114265-935 x -22853


How do I find the factor combinations of the number 21,367,555?

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 21,367,555, 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 21,367,555
-1 -21,367,555

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 21,367,555.

Example:
1 x 21,367,555 = 21,367,555
and
-1 x -21,367,555 = 21,367,555
Notice both answers equal 21,367,555

With that explanation out of the way, let's continue. Next, we take the number 21,367,555 and divide it by 2:

21,367,555 ÷ 2 = 10,683,777.5

If the quotient is a whole number, then 2 and 10,683,777.5 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 21,367,555
-1 -21,367,555

Now, we try dividing 21,367,555 by 3:

21,367,555 ÷ 3 = 7,122,518.3333

If the quotient is a whole number, then 3 and 7,122,518.3333 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 21,367,555
-1 -21,367,555

Let's try dividing by 4:

21,367,555 ÷ 4 = 5,341,888.75

If the quotient is a whole number, then 4 and 5,341,888.75 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 21,367,555
-1 21,367,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151117558518793522,853114,265251,383388,5011,256,9151,942,5054,273,51121,367,555
-1-5-11-17-55-85-187-935-22,853-114,265-251,383-388,501-1,256,915-1,942,505-4,273,511-21,367,555

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 21,367,555:


Ask a Question