Q: What are the factor combinations of the number 7,006,307?

 A:
Positive:   1 x 70063077 x 100090111 x 63693719 x 36875377 x 90991133 x 52679209 x 335231463 x 4789
Negative: -1 x -7006307-7 x -1000901-11 x -636937-19 x -368753-77 x -90991-133 x -52679-209 x -33523-1463 x -4789


How do I find the factor combinations of the number 7,006,307?

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 7,006,307, 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 7,006,307
-1 -7,006,307

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 7,006,307.

Example:
1 x 7,006,307 = 7,006,307
and
-1 x -7,006,307 = 7,006,307
Notice both answers equal 7,006,307

With that explanation out of the way, let's continue. Next, we take the number 7,006,307 and divide it by 2:

7,006,307 ÷ 2 = 3,503,153.5

If the quotient is a whole number, then 2 and 3,503,153.5 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 7,006,307
-1 -7,006,307

Now, we try dividing 7,006,307 by 3:

7,006,307 ÷ 3 = 2,335,435.6667

If the quotient is a whole number, then 3 and 2,335,435.6667 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 7,006,307
-1 -7,006,307

Let's try dividing by 4:

7,006,307 ÷ 4 = 1,751,576.75

If the quotient is a whole number, then 4 and 1,751,576.75 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 7,006,307
-1 7,006,307
Keep dividing by the next highest number until you cannot divide anymore.

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

171119771332091,4634,78933,52352,67990,991368,753636,9371,000,9017,006,307
-1-7-11-19-77-133-209-1,463-4,789-33,523-52,679-90,991-368,753-636,937-1,000,901-7,006,307

More Examples

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