Q: What are the factor combinations of the number 12,477,367?

 A:
Positive:   1 x 124773677 x 178248161 x 204547427 x 29221
Negative: -1 x -12477367-7 x -1782481-61 x -204547-427 x -29221


How do I find the factor combinations of the number 12,477,367?

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 12,477,367, 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 12,477,367
-1 -12,477,367

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 12,477,367.

Example:
1 x 12,477,367 = 12,477,367
and
-1 x -12,477,367 = 12,477,367
Notice both answers equal 12,477,367

With that explanation out of the way, let's continue. Next, we take the number 12,477,367 and divide it by 2:

12,477,367 ÷ 2 = 6,238,683.5

If the quotient is a whole number, then 2 and 6,238,683.5 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 12,477,367
-1 -12,477,367

Now, we try dividing 12,477,367 by 3:

12,477,367 ÷ 3 = 4,159,122.3333

If the quotient is a whole number, then 3 and 4,159,122.3333 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 12,477,367
-1 -12,477,367

Let's try dividing by 4:

12,477,367 ÷ 4 = 3,119,341.75

If the quotient is a whole number, then 4 and 3,119,341.75 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 12,477,367
-1 12,477,367
Keep dividing by the next highest number until you cannot divide anymore.

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

176142729,221204,5471,782,48112,477,367
-1-7-61-427-29,221-204,547-1,782,481-12,477,367

More Examples

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