Q: What are the factor combinations of the number 3,967,481?

 A:
Positive:   1 x 39674817 x 56678343 x 9226749 x 80969269 x 14749301 x 13181343 x 115671883 x 2107
Negative: -1 x -3967481-7 x -566783-43 x -92267-49 x -80969-269 x -14749-301 x -13181-343 x -11567-1883 x -2107


How do I find the factor combinations of the number 3,967,481?

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 3,967,481, 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 3,967,481
-1 -3,967,481

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 3,967,481.

Example:
1 x 3,967,481 = 3,967,481
and
-1 x -3,967,481 = 3,967,481
Notice both answers equal 3,967,481

With that explanation out of the way, let's continue. Next, we take the number 3,967,481 and divide it by 2:

3,967,481 ÷ 2 = 1,983,740.5

If the quotient is a whole number, then 2 and 1,983,740.5 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 3,967,481
-1 -3,967,481

Now, we try dividing 3,967,481 by 3:

3,967,481 ÷ 3 = 1,322,493.6667

If the quotient is a whole number, then 3 and 1,322,493.6667 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 3,967,481
-1 -3,967,481

Let's try dividing by 4:

3,967,481 ÷ 4 = 991,870.25

If the quotient is a whole number, then 4 and 991,870.25 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 3,967,481
-1 3,967,481
Keep dividing by the next highest number until you cannot divide anymore.

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

1743492693013431,8832,10711,56713,18114,74980,96992,267566,7833,967,481
-1-7-43-49-269-301-343-1,883-2,107-11,567-13,181-14,749-80,969-92,267-566,783-3,967,481

More Examples

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