Q: What are the factor combinations of the number 7,150,871?

 A:
Positive:   1 x 71508717 x 102155313 x 55006791 x 78581179 x 39949439 x 162891253 x 57072327 x 3073
Negative: -1 x -7150871-7 x -1021553-13 x -550067-91 x -78581-179 x -39949-439 x -16289-1253 x -5707-2327 x -3073


How do I find the factor combinations of the number 7,150,871?

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 7,150,871, 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 7,150,871
-1 -7,150,871

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 7,150,871.

Example:
1 x 7,150,871 = 7,150,871
and
-1 x -7,150,871 = 7,150,871
Notice both answers equal 7,150,871

With that explanation out of the way, let's continue. Next, we take the number 7,150,871 and divide it by 2:

7,150,871 ÷ 2 = 3,575,435.5

If the quotient is a whole number, then 2 and 3,575,435.5 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 7,150,871
-1 -7,150,871

Now, we try dividing 7,150,871 by 3:

7,150,871 ÷ 3 = 2,383,623.6667

If the quotient is a whole number, then 3 and 2,383,623.6667 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 7,150,871
-1 -7,150,871

Let's try dividing by 4:

7,150,871 ÷ 4 = 1,787,717.75

If the quotient is a whole number, then 4 and 1,787,717.75 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 7,150,871
-1 7,150,871
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911794391,2532,3273,0735,70716,28939,94978,581550,0671,021,5537,150,871
-1-7-13-91-179-439-1,253-2,327-3,073-5,707-16,289-39,949-78,581-550,067-1,021,553-7,150,871

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