Q: What are the factor combinations of the number 3,967,477?

 A:
Positive:   1 x 396747717 x 23338123 x 17249973 x 54349139 x 28543391 x 101471241 x 31971679 x 2363
Negative: -1 x -3967477-17 x -233381-23 x -172499-73 x -54349-139 x -28543-391 x -10147-1241 x -3197-1679 x -2363


How do I find the factor combinations of the number 3,967,477?

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 3,967,477, 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 3,967,477
-1 -3,967,477

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 3,967,477.

Example:
1 x 3,967,477 = 3,967,477
and
-1 x -3,967,477 = 3,967,477
Notice both answers equal 3,967,477

With that explanation out of the way, let's continue. Next, we take the number 3,967,477 and divide it by 2:

3,967,477 ÷ 2 = 1,983,738.5

If the quotient is a whole number, then 2 and 1,983,738.5 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 3,967,477
-1 -3,967,477

Now, we try dividing 3,967,477 by 3:

3,967,477 ÷ 3 = 1,322,492.3333

If the quotient is a whole number, then 3 and 1,322,492.3333 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 3,967,477
-1 -3,967,477

Let's try dividing by 4:

3,967,477 ÷ 4 = 991,869.25

If the quotient is a whole number, then 4 and 991,869.25 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 3,967,477
-1 3,967,477
Keep dividing by the next highest number until you cannot divide anymore.

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

11723731393911,2411,6792,3633,19710,14728,54354,349172,499233,3813,967,477
-1-17-23-73-139-391-1,241-1,679-2,363-3,197-10,147-28,543-54,349-172,499-233,381-3,967,477

More Examples

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