Q: What are the factor combinations of the number 6,002,885?

 A:
Positive:   1 x 60028855 x 12005777 x 85755523 x 26099535 x 171511115 x 52199161 x 37285805 x 7457
Negative: -1 x -6002885-5 x -1200577-7 x -857555-23 x -260995-35 x -171511-115 x -52199-161 x -37285-805 x -7457


How do I find the factor combinations of the number 6,002,885?

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 6,002,885, 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 6,002,885
-1 -6,002,885

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 6,002,885.

Example:
1 x 6,002,885 = 6,002,885
and
-1 x -6,002,885 = 6,002,885
Notice both answers equal 6,002,885

With that explanation out of the way, let's continue. Next, we take the number 6,002,885 and divide it by 2:

6,002,885 ÷ 2 = 3,001,442.5

If the quotient is a whole number, then 2 and 3,001,442.5 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 6,002,885
-1 -6,002,885

Now, we try dividing 6,002,885 by 3:

6,002,885 ÷ 3 = 2,000,961.6667

If the quotient is a whole number, then 3 and 2,000,961.6667 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 6,002,885
-1 -6,002,885

Let's try dividing by 4:

6,002,885 ÷ 4 = 1,500,721.25

If the quotient is a whole number, then 4 and 1,500,721.25 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 6,002,885
-1 6,002,885
Keep dividing by the next highest number until you cannot divide anymore.

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

15723351151618057,45737,28552,199171,511260,995857,5551,200,5776,002,885
-1-5-7-23-35-115-161-805-7,457-37,285-52,199-171,511-260,995-857,555-1,200,577-6,002,885

More Examples

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