Q: What are the factor combinations of the number 17,252,165?

 A:
Positive:   1 x 172521655 x 34504337 x 246459535 x 49291949 x 35208567 x 257495245 x 70417335 x 51499469 x 367851051 x 164152345 x 73573283 x 5255
Negative: -1 x -17252165-5 x -3450433-7 x -2464595-35 x -492919-49 x -352085-67 x -257495-245 x -70417-335 x -51499-469 x -36785-1051 x -16415-2345 x -7357-3283 x -5255


How do I find the factor combinations of the number 17,252,165?

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 17,252,165, 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 17,252,165
-1 -17,252,165

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 17,252,165.

Example:
1 x 17,252,165 = 17,252,165
and
-1 x -17,252,165 = 17,252,165
Notice both answers equal 17,252,165

With that explanation out of the way, let's continue. Next, we take the number 17,252,165 and divide it by 2:

17,252,165 ÷ 2 = 8,626,082.5

If the quotient is a whole number, then 2 and 8,626,082.5 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 17,252,165
-1 -17,252,165

Now, we try dividing 17,252,165 by 3:

17,252,165 ÷ 3 = 5,750,721.6667

If the quotient is a whole number, then 3 and 5,750,721.6667 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 17,252,165
-1 -17,252,165

Let's try dividing by 4:

17,252,165 ÷ 4 = 4,313,041.25

If the quotient is a whole number, then 4 and 4,313,041.25 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 17,252,165
-1 17,252,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549672453354691,0512,3453,2835,2557,35716,41536,78551,49970,417257,495352,085492,9192,464,5953,450,43317,252,165
-1-5-7-35-49-67-245-335-469-1,051-2,345-3,283-5,255-7,357-16,415-36,785-51,499-70,417-257,495-352,085-492,919-2,464,595-3,450,433-17,252,165

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