Q: What are the factor combinations of the number 12,546,385?

 A:
Positive:   1 x 125463855 x 250927723 x 54549579 x 158815115 x 109099395 x 317631381 x 90851817 x 6905
Negative: -1 x -12546385-5 x -2509277-23 x -545495-79 x -158815-115 x -109099-395 x -31763-1381 x -9085-1817 x -6905


How do I find the factor combinations of the number 12,546,385?

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 12,546,385, 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 12,546,385
-1 -12,546,385

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 12,546,385.

Example:
1 x 12,546,385 = 12,546,385
and
-1 x -12,546,385 = 12,546,385
Notice both answers equal 12,546,385

With that explanation out of the way, let's continue. Next, we take the number 12,546,385 and divide it by 2:

12,546,385 ÷ 2 = 6,273,192.5

If the quotient is a whole number, then 2 and 6,273,192.5 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 12,546,385
-1 -12,546,385

Now, we try dividing 12,546,385 by 3:

12,546,385 ÷ 3 = 4,182,128.3333

If the quotient is a whole number, then 3 and 4,182,128.3333 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 12,546,385
-1 -12,546,385

Let's try dividing by 4:

12,546,385 ÷ 4 = 3,136,596.25

If the quotient is a whole number, then 4 and 3,136,596.25 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 12,546,385
-1 12,546,385
Keep dividing by the next highest number until you cannot divide anymore.

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

1523791153951,3811,8176,9059,08531,763109,099158,815545,4952,509,27712,546,385
-1-5-23-79-115-395-1,381-1,817-6,905-9,085-31,763-109,099-158,815-545,495-2,509,277-12,546,385

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 12,546,385:


Ask a Question