Q: What are the factor combinations of the number 7,698,383?

 A:
Positive:   1 x 76983837 x 109976911 x 69985361 x 12620377 x 99979121 x 63623149 x 51667427 x 18029671 x 11473847 x 90891043 x 73811639 x 4697
Negative: -1 x -7698383-7 x -1099769-11 x -699853-61 x -126203-77 x -99979-121 x -63623-149 x -51667-427 x -18029-671 x -11473-847 x -9089-1043 x -7381-1639 x -4697


How do I find the factor combinations of the number 7,698,383?

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 7,698,383, 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 7,698,383
-1 -7,698,383

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 7,698,383.

Example:
1 x 7,698,383 = 7,698,383
and
-1 x -7,698,383 = 7,698,383
Notice both answers equal 7,698,383

With that explanation out of the way, let's continue. Next, we take the number 7,698,383 and divide it by 2:

7,698,383 ÷ 2 = 3,849,191.5

If the quotient is a whole number, then 2 and 3,849,191.5 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 7,698,383
-1 -7,698,383

Now, we try dividing 7,698,383 by 3:

7,698,383 ÷ 3 = 2,566,127.6667

If the quotient is a whole number, then 3 and 2,566,127.6667 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 7,698,383
-1 -7,698,383

Let's try dividing by 4:

7,698,383 ÷ 4 = 1,924,595.75

If the quotient is a whole number, then 4 and 1,924,595.75 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 7,698,383
-1 7,698,383
Keep dividing by the next highest number until you cannot divide anymore.

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

171161771211494276718471,0431,6394,6977,3819,08911,47318,02951,66763,62399,979126,203699,8531,099,7697,698,383
-1-7-11-61-77-121-149-427-671-847-1,043-1,639-4,697-7,381-9,089-11,473-18,029-51,667-63,623-99,979-126,203-699,853-1,099,769-7,698,383

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