Q: What are the factor combinations of the number 8,472,805?

 A:
Positive:   1 x 84728055 x 169456111 x 77025555 x 154051127 x 66715635 x 133431213 x 69851397 x 6065
Negative: -1 x -8472805-5 x -1694561-11 x -770255-55 x -154051-127 x -66715-635 x -13343-1213 x -6985-1397 x -6065


How do I find the factor combinations of the number 8,472,805?

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 8,472,805, 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 8,472,805
-1 -8,472,805

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 8,472,805.

Example:
1 x 8,472,805 = 8,472,805
and
-1 x -8,472,805 = 8,472,805
Notice both answers equal 8,472,805

With that explanation out of the way, let's continue. Next, we take the number 8,472,805 and divide it by 2:

8,472,805 ÷ 2 = 4,236,402.5

If the quotient is a whole number, then 2 and 4,236,402.5 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 8,472,805
-1 -8,472,805

Now, we try dividing 8,472,805 by 3:

8,472,805 ÷ 3 = 2,824,268.3333

If the quotient is a whole number, then 3 and 2,824,268.3333 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 8,472,805
-1 -8,472,805

Let's try dividing by 4:

8,472,805 ÷ 4 = 2,118,201.25

If the quotient is a whole number, then 4 and 2,118,201.25 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 8,472,805
-1 8,472,805
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551276351,2131,3976,0656,98513,34366,715154,051770,2551,694,5618,472,805
-1-5-11-55-127-635-1,213-1,397-6,065-6,985-13,343-66,715-154,051-770,255-1,694,561-8,472,805

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,472,805:


Ask a Question