Q: What are the factor combinations of the number 12,461,425?

 A:
Positive:   1 x 124614255 x 249228517 x 73302525 x 49845785 x 146605109 x 114325269 x 46325425 x 29321545 x 228651345 x 92651853 x 67252725 x 4573
Negative: -1 x -12461425-5 x -2492285-17 x -733025-25 x -498457-85 x -146605-109 x -114325-269 x -46325-425 x -29321-545 x -22865-1345 x -9265-1853 x -6725-2725 x -4573


How do I find the factor combinations of the number 12,461,425?

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 12,461,425, 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 12,461,425
-1 -12,461,425

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 12,461,425.

Example:
1 x 12,461,425 = 12,461,425
and
-1 x -12,461,425 = 12,461,425
Notice both answers equal 12,461,425

With that explanation out of the way, let's continue. Next, we take the number 12,461,425 and divide it by 2:

12,461,425 ÷ 2 = 6,230,712.5

If the quotient is a whole number, then 2 and 6,230,712.5 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 12,461,425
-1 -12,461,425

Now, we try dividing 12,461,425 by 3:

12,461,425 ÷ 3 = 4,153,808.3333

If the quotient is a whole number, then 3 and 4,153,808.3333 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 12,461,425
-1 -12,461,425

Let's try dividing by 4:

12,461,425 ÷ 4 = 3,115,356.25

If the quotient is a whole number, then 4 and 3,115,356.25 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 12,461,425
-1 12,461,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851092694255451,3451,8532,7254,5736,7259,26522,86529,32146,325114,325146,605498,457733,0252,492,28512,461,425
-1-5-17-25-85-109-269-425-545-1,345-1,853-2,725-4,573-6,725-9,265-22,865-29,321-46,325-114,325-146,605-498,457-733,025-2,492,285-12,461,425

More Examples

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