Q: What are the factor combinations of the number 17,098,655?

 A:
Positive:   1 x 170986555 x 34197317 x 244266535 x 488533457 x 374151069 x 159952285 x 74833199 x 5345
Negative: -1 x -17098655-5 x -3419731-7 x -2442665-35 x -488533-457 x -37415-1069 x -15995-2285 x -7483-3199 x -5345


How do I find the factor combinations of the number 17,098,655?

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 17,098,655, 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 17,098,655
-1 -17,098,655

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 17,098,655.

Example:
1 x 17,098,655 = 17,098,655
and
-1 x -17,098,655 = 17,098,655
Notice both answers equal 17,098,655

With that explanation out of the way, let's continue. Next, we take the number 17,098,655 and divide it by 2:

17,098,655 ÷ 2 = 8,549,327.5

If the quotient is a whole number, then 2 and 8,549,327.5 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 17,098,655
-1 -17,098,655

Now, we try dividing 17,098,655 by 3:

17,098,655 ÷ 3 = 5,699,551.6667

If the quotient is a whole number, then 3 and 5,699,551.6667 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 17,098,655
-1 -17,098,655

Let's try dividing by 4:

17,098,655 ÷ 4 = 4,274,663.75

If the quotient is a whole number, then 4 and 4,274,663.75 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 17,098,655
-1 17,098,655
Keep dividing by the next highest number until you cannot divide anymore.

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

157354571,0692,2853,1995,3457,48315,99537,415488,5332,442,6653,419,73117,098,655
-1-5-7-35-457-1,069-2,285-3,199-5,345-7,483-15,995-37,415-488,533-2,442,665-3,419,731-17,098,655

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