Q: What are the factor combinations of the number 13,116,425?

 A:
Positive:   1 x 131164255 x 26232857 x 187377525 x 52465735 x 374755175 x 74951241 x 54425311 x 421751205 x 108851555 x 84351687 x 77752177 x 6025
Negative: -1 x -13116425-5 x -2623285-7 x -1873775-25 x -524657-35 x -374755-175 x -74951-241 x -54425-311 x -42175-1205 x -10885-1555 x -8435-1687 x -7775-2177 x -6025


How do I find the factor combinations of the number 13,116,425?

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 13,116,425, 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 13,116,425
-1 -13,116,425

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 13,116,425.

Example:
1 x 13,116,425 = 13,116,425
and
-1 x -13,116,425 = 13,116,425
Notice both answers equal 13,116,425

With that explanation out of the way, let's continue. Next, we take the number 13,116,425 and divide it by 2:

13,116,425 ÷ 2 = 6,558,212.5

If the quotient is a whole number, then 2 and 6,558,212.5 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 13,116,425
-1 -13,116,425

Now, we try dividing 13,116,425 by 3:

13,116,425 ÷ 3 = 4,372,141.6667

If the quotient is a whole number, then 3 and 4,372,141.6667 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 13,116,425
-1 -13,116,425

Let's try dividing by 4:

13,116,425 ÷ 4 = 3,279,106.25

If the quotient is a whole number, then 4 and 3,279,106.25 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 13,116,425
-1 13,116,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351752413111,2051,5551,6872,1776,0257,7758,43510,88542,17554,42574,951374,755524,6571,873,7752,623,28513,116,425
-1-5-7-25-35-175-241-311-1,205-1,555-1,687-2,177-6,025-7,775-8,435-10,885-42,175-54,425-74,951-374,755-524,657-1,873,775-2,623,285-13,116,425

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