Q: What are the factor combinations of the number 37,309,883?

 A:
Positive:   1 x 3730988313 x 286999117 x 219469979 x 472277221 x 1688231027 x 363291343 x 277812137 x 17459
Negative: -1 x -37309883-13 x -2869991-17 x -2194699-79 x -472277-221 x -168823-1027 x -36329-1343 x -27781-2137 x -17459


How do I find the factor combinations of the number 37,309,883?

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 37,309,883, 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 37,309,883
-1 -37,309,883

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 37,309,883.

Example:
1 x 37,309,883 = 37,309,883
and
-1 x -37,309,883 = 37,309,883
Notice both answers equal 37,309,883

With that explanation out of the way, let's continue. Next, we take the number 37,309,883 and divide it by 2:

37,309,883 ÷ 2 = 18,654,941.5

If the quotient is a whole number, then 2 and 18,654,941.5 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 37,309,883
-1 -37,309,883

Now, we try dividing 37,309,883 by 3:

37,309,883 ÷ 3 = 12,436,627.6667

If the quotient is a whole number, then 3 and 12,436,627.6667 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 37,309,883
-1 -37,309,883

Let's try dividing by 4:

37,309,883 ÷ 4 = 9,327,470.75

If the quotient is a whole number, then 4 and 9,327,470.75 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 37,309,883
-1 37,309,883
Keep dividing by the next highest number until you cannot divide anymore.

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

11317792211,0271,3432,13717,45927,78136,329168,823472,2772,194,6992,869,99137,309,883
-1-13-17-79-221-1,027-1,343-2,137-17,459-27,781-36,329-168,823-472,277-2,194,699-2,869,991-37,309,883

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 37,309,883:


Ask a Question