Q: What are the factor combinations of the number 34,942,055?

 A:
Positive:   1 x 349420555 x 698841117 x 205541585 x 411083
Negative: -1 x -34942055-5 x -6988411-17 x -2055415-85 x -411083


How do I find the factor combinations of the number 34,942,055?

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 34,942,055, 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 34,942,055
-1 -34,942,055

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 34,942,055.

Example:
1 x 34,942,055 = 34,942,055
and
-1 x -34,942,055 = 34,942,055
Notice both answers equal 34,942,055

With that explanation out of the way, let's continue. Next, we take the number 34,942,055 and divide it by 2:

34,942,055 ÷ 2 = 17,471,027.5

If the quotient is a whole number, then 2 and 17,471,027.5 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 34,942,055
-1 -34,942,055

Now, we try dividing 34,942,055 by 3:

34,942,055 ÷ 3 = 11,647,351.6667

If the quotient is a whole number, then 3 and 11,647,351.6667 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 34,942,055
-1 -34,942,055

Let's try dividing by 4:

34,942,055 ÷ 4 = 8,735,513.75

If the quotient is a whole number, then 4 and 8,735,513.75 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 34,942,055
-1 34,942,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151785411,0832,055,4156,988,41134,942,055
-1-5-17-85-411,083-2,055,415-6,988,411-34,942,055

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 34,942,055:


Ask a Question