Q: What are the factor combinations of the number 17,018,225?

 A:
Positive:   1 x 170182255 x 34036457 x 243117525 x 68072931 x 54897535 x 486235155 x 109795175 x 97247217 x 78425775 x 219591085 x 156853137 x 5425
Negative: -1 x -17018225-5 x -3403645-7 x -2431175-25 x -680729-31 x -548975-35 x -486235-155 x -109795-175 x -97247-217 x -78425-775 x -21959-1085 x -15685-3137 x -5425


How do I find the factor combinations of the number 17,018,225?

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 17,018,225, 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 17,018,225
-1 -17,018,225

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 17,018,225.

Example:
1 x 17,018,225 = 17,018,225
and
-1 x -17,018,225 = 17,018,225
Notice both answers equal 17,018,225

With that explanation out of the way, let's continue. Next, we take the number 17,018,225 and divide it by 2:

17,018,225 ÷ 2 = 8,509,112.5

If the quotient is a whole number, then 2 and 8,509,112.5 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 17,018,225
-1 -17,018,225

Now, we try dividing 17,018,225 by 3:

17,018,225 ÷ 3 = 5,672,741.6667

If the quotient is a whole number, then 3 and 5,672,741.6667 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 17,018,225
-1 -17,018,225

Let's try dividing by 4:

17,018,225 ÷ 4 = 4,254,556.25

If the quotient is a whole number, then 4 and 4,254,556.25 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 17,018,225
-1 17,018,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1572531351551752177751,0853,1375,42515,68521,95978,42597,247109,795486,235548,975680,7292,431,1753,403,64517,018,225
-1-5-7-25-31-35-155-175-217-775-1,085-3,137-5,425-15,685-21,959-78,425-97,247-109,795-486,235-548,975-680,729-2,431,175-3,403,645-17,018,225

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