Q: What are the factor combinations of the number 17,027,525?

 A:
Positive:   1 x 170275255 x 340550525 x 68110131 x 549275127 x 134075155 x 109855173 x 98425635 x 26815775 x 21971865 x 196853175 x 53633937 x 4325
Negative: -1 x -17027525-5 x -3405505-25 x -681101-31 x -549275-127 x -134075-155 x -109855-173 x -98425-635 x -26815-775 x -21971-865 x -19685-3175 x -5363-3937 x -4325


How do I find the factor combinations of the number 17,027,525?

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 17,027,525, 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 17,027,525
-1 -17,027,525

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 17,027,525.

Example:
1 x 17,027,525 = 17,027,525
and
-1 x -17,027,525 = 17,027,525
Notice both answers equal 17,027,525

With that explanation out of the way, let's continue. Next, we take the number 17,027,525 and divide it by 2:

17,027,525 ÷ 2 = 8,513,762.5

If the quotient is a whole number, then 2 and 8,513,762.5 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 17,027,525
-1 -17,027,525

Now, we try dividing 17,027,525 by 3:

17,027,525 ÷ 3 = 5,675,841.6667

If the quotient is a whole number, then 3 and 5,675,841.6667 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 17,027,525
-1 -17,027,525

Let's try dividing by 4:

17,027,525 ÷ 4 = 4,256,881.25

If the quotient is a whole number, then 4 and 4,256,881.25 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 17,027,525
-1 17,027,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311271551736357758653,1753,9374,3255,36319,68521,97126,81598,425109,855134,075549,275681,1013,405,50517,027,525
-1-5-25-31-127-155-173-635-775-865-3,175-3,937-4,325-5,363-19,685-21,971-26,815-98,425-109,855-134,075-549,275-681,101-3,405,505-17,027,525

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