Q: What are the factor combinations of the number 36,742,739?

 A:
Positive:   1 x 3674273911 x 334024929 x 126699137 x 993047121 x 303659283 x 129833319 x 115181407 x 902771073 x 342433113 x 118033509 x 104714477 x 8207
Negative: -1 x -36742739-11 x -3340249-29 x -1266991-37 x -993047-121 x -303659-283 x -129833-319 x -115181-407 x -90277-1073 x -34243-3113 x -11803-3509 x -10471-4477 x -8207


How do I find the factor combinations of the number 36,742,739?

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 36,742,739, 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 36,742,739
-1 -36,742,739

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 36,742,739.

Example:
1 x 36,742,739 = 36,742,739
and
-1 x -36,742,739 = 36,742,739
Notice both answers equal 36,742,739

With that explanation out of the way, let's continue. Next, we take the number 36,742,739 and divide it by 2:

36,742,739 ÷ 2 = 18,371,369.5

If the quotient is a whole number, then 2 and 18,371,369.5 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 36,742,739
-1 -36,742,739

Now, we try dividing 36,742,739 by 3:

36,742,739 ÷ 3 = 12,247,579.6667

If the quotient is a whole number, then 3 and 12,247,579.6667 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 36,742,739
-1 -36,742,739

Let's try dividing by 4:

36,742,739 ÷ 4 = 9,185,684.75

If the quotient is a whole number, then 4 and 9,185,684.75 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 36,742,739
-1 36,742,739
Keep dividing by the next highest number until you cannot divide anymore.

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

11129371212833194071,0733,1133,5094,4778,20710,47111,80334,24390,277115,181129,833303,659993,0471,266,9913,340,24936,742,739
-1-11-29-37-121-283-319-407-1,073-3,113-3,509-4,477-8,207-10,471-11,803-34,243-90,277-115,181-129,833-303,659-993,047-1,266,991-3,340,249-36,742,739

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 36,742,739:


Ask a Question