Q: What are the factor combinations of the number 7,667,471?

 A:
Positive:   1 x 76674717 x 109535349 x 156479167 x 45913937 x 81831169 x 6559
Negative: -1 x -7667471-7 x -1095353-49 x -156479-167 x -45913-937 x -8183-1169 x -6559


How do I find the factor combinations of the number 7,667,471?

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 7,667,471, 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 7,667,471
-1 -7,667,471

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 7,667,471.

Example:
1 x 7,667,471 = 7,667,471
and
-1 x -7,667,471 = 7,667,471
Notice both answers equal 7,667,471

With that explanation out of the way, let's continue. Next, we take the number 7,667,471 and divide it by 2:

7,667,471 ÷ 2 = 3,833,735.5

If the quotient is a whole number, then 2 and 3,833,735.5 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 7,667,471
-1 -7,667,471

Now, we try dividing 7,667,471 by 3:

7,667,471 ÷ 3 = 2,555,823.6667

If the quotient is a whole number, then 3 and 2,555,823.6667 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 7,667,471
-1 -7,667,471

Let's try dividing by 4:

7,667,471 ÷ 4 = 1,916,867.75

If the quotient is a whole number, then 4 and 1,916,867.75 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 7,667,471
-1 7,667,471
Keep dividing by the next highest number until you cannot divide anymore.

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

17491679371,1696,5598,18345,913156,4791,095,3537,667,471
-1-7-49-167-937-1,169-6,559-8,183-45,913-156,479-1,095,353-7,667,471

More Examples

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