Q: What are the factor combinations of the number 12,425,155?

 A:
Positive:   1 x 124251555 x 248503137 x 33581547 x 264365185 x 67163235 x 528731429 x 86951739 x 7145
Negative: -1 x -12425155-5 x -2485031-37 x -335815-47 x -264365-185 x -67163-235 x -52873-1429 x -8695-1739 x -7145


How do I find the factor combinations of the number 12,425,155?

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 12,425,155, 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 12,425,155
-1 -12,425,155

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 12,425,155.

Example:
1 x 12,425,155 = 12,425,155
and
-1 x -12,425,155 = 12,425,155
Notice both answers equal 12,425,155

With that explanation out of the way, let's continue. Next, we take the number 12,425,155 and divide it by 2:

12,425,155 ÷ 2 = 6,212,577.5

If the quotient is a whole number, then 2 and 6,212,577.5 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 12,425,155
-1 -12,425,155

Now, we try dividing 12,425,155 by 3:

12,425,155 ÷ 3 = 4,141,718.3333

If the quotient is a whole number, then 3 and 4,141,718.3333 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 12,425,155
-1 -12,425,155

Let's try dividing by 4:

12,425,155 ÷ 4 = 3,106,288.75

If the quotient is a whole number, then 4 and 3,106,288.75 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 12,425,155
-1 12,425,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1537471852351,4291,7397,1458,69552,87367,163264,365335,8152,485,03112,425,155
-1-5-37-47-185-235-1,429-1,739-7,145-8,695-52,873-67,163-264,365-335,815-2,485,031-12,425,155

More Examples

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