Q: What are the factor combinations of the number 36,242,227?

 A:
Positive:   1 x 362422277 x 517746123 x 1575749161 x 225107229 x 158263983 x 368691603 x 226095267 x 6881
Negative: -1 x -36242227-7 x -5177461-23 x -1575749-161 x -225107-229 x -158263-983 x -36869-1603 x -22609-5267 x -6881


How do I find the factor combinations of the number 36,242,227?

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 36,242,227, 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 36,242,227
-1 -36,242,227

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 36,242,227.

Example:
1 x 36,242,227 = 36,242,227
and
-1 x -36,242,227 = 36,242,227
Notice both answers equal 36,242,227

With that explanation out of the way, let's continue. Next, we take the number 36,242,227 and divide it by 2:

36,242,227 ÷ 2 = 18,121,113.5

If the quotient is a whole number, then 2 and 18,121,113.5 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 36,242,227
-1 -36,242,227

Now, we try dividing 36,242,227 by 3:

36,242,227 ÷ 3 = 12,080,742.3333

If the quotient is a whole number, then 3 and 12,080,742.3333 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 36,242,227
-1 -36,242,227

Let's try dividing by 4:

36,242,227 ÷ 4 = 9,060,556.75

If the quotient is a whole number, then 4 and 9,060,556.75 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 36,242,227
-1 36,242,227
Keep dividing by the next highest number until you cannot divide anymore.

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

17231612299831,6035,2676,88122,60936,869158,263225,1071,575,7495,177,46136,242,227
-1-7-23-161-229-983-1,603-5,267-6,881-22,609-36,869-158,263-225,107-1,575,749-5,177,461-36,242,227

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 36,242,227:


Ask a Question