Q: What are the factor combinations of the number 33,949,181?

 A:
Positive:   1 x 339491817 x 484988319 x 178679947 x 722323133 x 255257329 x 103189893 x 380175431 x 6251
Negative: -1 x -33949181-7 x -4849883-19 x -1786799-47 x -722323-133 x -255257-329 x -103189-893 x -38017-5431 x -6251


How do I find the factor combinations of the number 33,949,181?

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 33,949,181, 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 33,949,181
-1 -33,949,181

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 33,949,181.

Example:
1 x 33,949,181 = 33,949,181
and
-1 x -33,949,181 = 33,949,181
Notice both answers equal 33,949,181

With that explanation out of the way, let's continue. Next, we take the number 33,949,181 and divide it by 2:

33,949,181 ÷ 2 = 16,974,590.5

If the quotient is a whole number, then 2 and 16,974,590.5 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 33,949,181
-1 -33,949,181

Now, we try dividing 33,949,181 by 3:

33,949,181 ÷ 3 = 11,316,393.6667

If the quotient is a whole number, then 3 and 11,316,393.6667 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 33,949,181
-1 -33,949,181

Let's try dividing by 4:

33,949,181 ÷ 4 = 8,487,295.25

If the quotient is a whole number, then 4 and 8,487,295.25 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 33,949,181
-1 33,949,181
Keep dividing by the next highest number until you cannot divide anymore.

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

1719471333298935,4316,25138,017103,189255,257722,3231,786,7994,849,88333,949,181
-1-7-19-47-133-329-893-5,431-6,251-38,017-103,189-255,257-722,323-1,786,799-4,849,883-33,949,181

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 33,949,181:


Ask a Question