Q: What are the factor combinations of the number 17,342,897?

 A:
Positive:   1 x 1734289711 x 157662713 x 133406923 x 754039143 x 121279253 x 68549299 x 580033289 x 5273
Negative: -1 x -17342897-11 x -1576627-13 x -1334069-23 x -754039-143 x -121279-253 x -68549-299 x -58003-3289 x -5273


How do I find the factor combinations of the number 17,342,897?

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 17,342,897, 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 17,342,897
-1 -17,342,897

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 17,342,897.

Example:
1 x 17,342,897 = 17,342,897
and
-1 x -17,342,897 = 17,342,897
Notice both answers equal 17,342,897

With that explanation out of the way, let's continue. Next, we take the number 17,342,897 and divide it by 2:

17,342,897 ÷ 2 = 8,671,448.5

If the quotient is a whole number, then 2 and 8,671,448.5 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 17,342,897
-1 -17,342,897

Now, we try dividing 17,342,897 by 3:

17,342,897 ÷ 3 = 5,780,965.6667

If the quotient is a whole number, then 3 and 5,780,965.6667 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 17,342,897
-1 -17,342,897

Let's try dividing by 4:

17,342,897 ÷ 4 = 4,335,724.25

If the quotient is a whole number, then 4 and 4,335,724.25 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 17,342,897
-1 17,342,897
Keep dividing by the next highest number until you cannot divide anymore.

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

11113231432532993,2895,27358,00368,549121,279754,0391,334,0691,576,62717,342,897
-1-11-13-23-143-253-299-3,289-5,273-58,003-68,549-121,279-754,039-1,334,069-1,576,627-17,342,897

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