Q: What are the factor combinations of the number 8,003,885?

 A:
Positive:   1 x 80038855 x 160077723 x 34799579 x 101315115 x 69599395 x 20263881 x 90851817 x 4405
Negative: -1 x -8003885-5 x -1600777-23 x -347995-79 x -101315-115 x -69599-395 x -20263-881 x -9085-1817 x -4405


How do I find the factor combinations of the number 8,003,885?

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 8,003,885, 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 8,003,885
-1 -8,003,885

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 8,003,885.

Example:
1 x 8,003,885 = 8,003,885
and
-1 x -8,003,885 = 8,003,885
Notice both answers equal 8,003,885

With that explanation out of the way, let's continue. Next, we take the number 8,003,885 and divide it by 2:

8,003,885 ÷ 2 = 4,001,942.5

If the quotient is a whole number, then 2 and 4,001,942.5 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 8,003,885
-1 -8,003,885

Now, we try dividing 8,003,885 by 3:

8,003,885 ÷ 3 = 2,667,961.6667

If the quotient is a whole number, then 3 and 2,667,961.6667 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 8,003,885
-1 -8,003,885

Let's try dividing by 4:

8,003,885 ÷ 4 = 2,000,971.25

If the quotient is a whole number, then 4 and 2,000,971.25 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 8,003,885
-1 8,003,885
Keep dividing by the next highest number until you cannot divide anymore.

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

1523791153958811,8174,4059,08520,26369,599101,315347,9951,600,7778,003,885
-1-5-23-79-115-395-881-1,817-4,405-9,085-20,263-69,599-101,315-347,995-1,600,777-8,003,885

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