Q: What are the factor combinations of the number 6,770,885?

 A:
Positive:   1 x 67708855 x 135417711 x 61553555 x 123107307 x 22055401 x 168851535 x 44112005 x 3377
Negative: -1 x -6770885-5 x -1354177-11 x -615535-55 x -123107-307 x -22055-401 x -16885-1535 x -4411-2005 x -3377


How do I find the factor combinations of the number 6,770,885?

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 6,770,885, 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 6,770,885
-1 -6,770,885

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 6,770,885.

Example:
1 x 6,770,885 = 6,770,885
and
-1 x -6,770,885 = 6,770,885
Notice both answers equal 6,770,885

With that explanation out of the way, let's continue. Next, we take the number 6,770,885 and divide it by 2:

6,770,885 ÷ 2 = 3,385,442.5

If the quotient is a whole number, then 2 and 3,385,442.5 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 6,770,885
-1 -6,770,885

Now, we try dividing 6,770,885 by 3:

6,770,885 ÷ 3 = 2,256,961.6667

If the quotient is a whole number, then 3 and 2,256,961.6667 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 6,770,885
-1 -6,770,885

Let's try dividing by 4:

6,770,885 ÷ 4 = 1,692,721.25

If the quotient is a whole number, then 4 and 1,692,721.25 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 6,770,885
-1 6,770,885
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553074011,5352,0053,3774,41116,88522,055123,107615,5351,354,1776,770,885
-1-5-11-55-307-401-1,535-2,005-3,377-4,411-16,885-22,055-123,107-615,535-1,354,177-6,770,885

More Examples

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