Q: What are the factor combinations of the number 7,984,955?

 A:
Positive:   1 x 79849555 x 159699111 x 72590541 x 19475555 x 145181205 x 38951451 x 177052255 x 3541
Negative: -1 x -7984955-5 x -1596991-11 x -725905-41 x -194755-55 x -145181-205 x -38951-451 x -17705-2255 x -3541


How do I find the factor combinations of the number 7,984,955?

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 7,984,955, 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 7,984,955
-1 -7,984,955

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 7,984,955.

Example:
1 x 7,984,955 = 7,984,955
and
-1 x -7,984,955 = 7,984,955
Notice both answers equal 7,984,955

With that explanation out of the way, let's continue. Next, we take the number 7,984,955 and divide it by 2:

7,984,955 ÷ 2 = 3,992,477.5

If the quotient is a whole number, then 2 and 3,992,477.5 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 7,984,955
-1 -7,984,955

Now, we try dividing 7,984,955 by 3:

7,984,955 ÷ 3 = 2,661,651.6667

If the quotient is a whole number, then 3 and 2,661,651.6667 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 7,984,955
-1 -7,984,955

Let's try dividing by 4:

7,984,955 ÷ 4 = 1,996,238.75

If the quotient is a whole number, then 4 and 1,996,238.75 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 7,984,955
-1 7,984,955
Keep dividing by the next highest number until you cannot divide anymore.

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

151141552054512,2553,54117,70538,951145,181194,755725,9051,596,9917,984,955
-1-5-11-41-55-205-451-2,255-3,541-17,705-38,951-145,181-194,755-725,905-1,596,991-7,984,955

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 7,984,955:


Ask a Question