Q: What are the factor combinations of the number 12,350,425?

 A:
Positive:   1 x 123504255 x 247008523 x 53697525 x 49401747 x 262775115 x 107395235 x 52555457 x 27025575 x 214791081 x 114251175 x 105112285 x 5405
Negative: -1 x -12350425-5 x -2470085-23 x -536975-25 x -494017-47 x -262775-115 x -107395-235 x -52555-457 x -27025-575 x -21479-1081 x -11425-1175 x -10511-2285 x -5405


How do I find the factor combinations of the number 12,350,425?

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 12,350,425, 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 12,350,425
-1 -12,350,425

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 12,350,425.

Example:
1 x 12,350,425 = 12,350,425
and
-1 x -12,350,425 = 12,350,425
Notice both answers equal 12,350,425

With that explanation out of the way, let's continue. Next, we take the number 12,350,425 and divide it by 2:

12,350,425 ÷ 2 = 6,175,212.5

If the quotient is a whole number, then 2 and 6,175,212.5 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 12,350,425
-1 -12,350,425

Now, we try dividing 12,350,425 by 3:

12,350,425 ÷ 3 = 4,116,808.3333

If the quotient is a whole number, then 3 and 4,116,808.3333 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 12,350,425
-1 -12,350,425

Let's try dividing by 4:

12,350,425 ÷ 4 = 3,087,606.25

If the quotient is a whole number, then 4 and 3,087,606.25 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 12,350,425
-1 12,350,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152325471152354575751,0811,1752,2855,40510,51111,42521,47927,02552,555107,395262,775494,017536,9752,470,08512,350,425
-1-5-23-25-47-115-235-457-575-1,081-1,175-2,285-5,405-10,511-11,425-21,479-27,025-52,555-107,395-262,775-494,017-536,975-2,470,085-12,350,425

More Examples

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