Q: What are the factor combinations of the number 12,346,145?

 A:
Positive:   1 x 123461455 x 24692297 x 176373535 x 352747173 x 71365865 x 142731211 x 101952039 x 6055
Negative: -1 x -12346145-5 x -2469229-7 x -1763735-35 x -352747-173 x -71365-865 x -14273-1211 x -10195-2039 x -6055


How do I find the factor combinations of the number 12,346,145?

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 12,346,145, 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 12,346,145
-1 -12,346,145

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 12,346,145.

Example:
1 x 12,346,145 = 12,346,145
and
-1 x -12,346,145 = 12,346,145
Notice both answers equal 12,346,145

With that explanation out of the way, let's continue. Next, we take the number 12,346,145 and divide it by 2:

12,346,145 ÷ 2 = 6,173,072.5

If the quotient is a whole number, then 2 and 6,173,072.5 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 12,346,145
-1 -12,346,145

Now, we try dividing 12,346,145 by 3:

12,346,145 ÷ 3 = 4,115,381.6667

If the quotient is a whole number, then 3 and 4,115,381.6667 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 12,346,145
-1 -12,346,145

Let's try dividing by 4:

12,346,145 ÷ 4 = 3,086,536.25

If the quotient is a whole number, then 4 and 3,086,536.25 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 12,346,145
-1 12,346,145
Keep dividing by the next highest number until you cannot divide anymore.

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

157351738651,2112,0396,05510,19514,27371,365352,7471,763,7352,469,22912,346,145
-1-5-7-35-173-865-1,211-2,039-6,055-10,195-14,273-71,365-352,747-1,763,735-2,469,229-12,346,145

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 12,346,145:


Ask a Question