Q: What are the factor combinations of the number 13,242,425?

 A:
Positive:   1 x 132424255 x 26484857 x 189177525 x 52969731 x 42717535 x 378355155 x 85435175 x 75671217 x 61025775 x 170871085 x 122052441 x 5425
Negative: -1 x -13242425-5 x -2648485-7 x -1891775-25 x -529697-31 x -427175-35 x -378355-155 x -85435-175 x -75671-217 x -61025-775 x -17087-1085 x -12205-2441 x -5425


How do I find the factor combinations of the number 13,242,425?

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 13,242,425, 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 13,242,425
-1 -13,242,425

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 13,242,425.

Example:
1 x 13,242,425 = 13,242,425
and
-1 x -13,242,425 = 13,242,425
Notice both answers equal 13,242,425

With that explanation out of the way, let's continue. Next, we take the number 13,242,425 and divide it by 2:

13,242,425 ÷ 2 = 6,621,212.5

If the quotient is a whole number, then 2 and 6,621,212.5 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 13,242,425
-1 -13,242,425

Now, we try dividing 13,242,425 by 3:

13,242,425 ÷ 3 = 4,414,141.6667

If the quotient is a whole number, then 3 and 4,414,141.6667 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 13,242,425
-1 -13,242,425

Let's try dividing by 4:

13,242,425 ÷ 4 = 3,310,606.25

If the quotient is a whole number, then 4 and 3,310,606.25 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 13,242,425
-1 13,242,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572531351551752177751,0852,4415,42512,20517,08761,02575,67185,435378,355427,175529,6971,891,7752,648,48513,242,425
-1-5-7-25-31-35-155-175-217-775-1,085-2,441-5,425-12,205-17,087-61,025-75,671-85,435-378,355-427,175-529,697-1,891,775-2,648,485-13,242,425

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