Q: What are the factor combinations of the number 9,496,679?

 A:
Positive:   1 x 949667937 x 25666743 x 22085347 x 202057127 x 747771591 x 59691739 x 54612021 x 4699
Negative: -1 x -9496679-37 x -256667-43 x -220853-47 x -202057-127 x -74777-1591 x -5969-1739 x -5461-2021 x -4699


How do I find the factor combinations of the number 9,496,679?

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 9,496,679, 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 9,496,679
-1 -9,496,679

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 9,496,679.

Example:
1 x 9,496,679 = 9,496,679
and
-1 x -9,496,679 = 9,496,679
Notice both answers equal 9,496,679

With that explanation out of the way, let's continue. Next, we take the number 9,496,679 and divide it by 2:

9,496,679 ÷ 2 = 4,748,339.5

If the quotient is a whole number, then 2 and 4,748,339.5 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 9,496,679
-1 -9,496,679

Now, we try dividing 9,496,679 by 3:

9,496,679 ÷ 3 = 3,165,559.6667

If the quotient is a whole number, then 3 and 3,165,559.6667 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 9,496,679
-1 -9,496,679

Let's try dividing by 4:

9,496,679 ÷ 4 = 2,374,169.75

If the quotient is a whole number, then 4 and 2,374,169.75 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 9,496,679
-1 9,496,679
Keep dividing by the next highest number until you cannot divide anymore.

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

13743471271,5911,7392,0214,6995,4615,96974,777202,057220,853256,6679,496,679
-1-37-43-47-127-1,591-1,739-2,021-4,699-5,461-5,969-74,777-202,057-220,853-256,667-9,496,679

More Examples

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