Q: What are the factor combinations of the number 17,117,345?

 A:
Positive:   1 x 171173455 x 34234697 x 244533535 x 489067233 x 734651165 x 146931631 x 104952099 x 8155
Negative: -1 x -17117345-5 x -3423469-7 x -2445335-35 x -489067-233 x -73465-1165 x -14693-1631 x -10495-2099 x -8155


How do I find the factor combinations of the number 17,117,345?

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 17,117,345, 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 17,117,345
-1 -17,117,345

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 17,117,345.

Example:
1 x 17,117,345 = 17,117,345
and
-1 x -17,117,345 = 17,117,345
Notice both answers equal 17,117,345

With that explanation out of the way, let's continue. Next, we take the number 17,117,345 and divide it by 2:

17,117,345 ÷ 2 = 8,558,672.5

If the quotient is a whole number, then 2 and 8,558,672.5 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 17,117,345
-1 -17,117,345

Now, we try dividing 17,117,345 by 3:

17,117,345 ÷ 3 = 5,705,781.6667

If the quotient is a whole number, then 3 and 5,705,781.6667 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 17,117,345
-1 -17,117,345

Let's try dividing by 4:

17,117,345 ÷ 4 = 4,279,336.25

If the quotient is a whole number, then 4 and 4,279,336.25 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 17,117,345
-1 17,117,345
Keep dividing by the next highest number until you cannot divide anymore.

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

157352331,1651,6312,0998,15510,49514,69373,465489,0672,445,3353,423,46917,117,345
-1-5-7-35-233-1,165-1,631-2,099-8,155-10,495-14,693-73,465-489,067-2,445,335-3,423,469-17,117,345

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