Q: What are the factor combinations of the number 7,116,629?

 A:
Positive:   1 x 711662913 x 54743329 x 24540143 x 165503377 x 18877439 x 16211559 x 127311247 x 5707
Negative: -1 x -7116629-13 x -547433-29 x -245401-43 x -165503-377 x -18877-439 x -16211-559 x -12731-1247 x -5707


How do I find the factor combinations of the number 7,116,629?

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 7,116,629, 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 7,116,629
-1 -7,116,629

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 7,116,629.

Example:
1 x 7,116,629 = 7,116,629
and
-1 x -7,116,629 = 7,116,629
Notice both answers equal 7,116,629

With that explanation out of the way, let's continue. Next, we take the number 7,116,629 and divide it by 2:

7,116,629 ÷ 2 = 3,558,314.5

If the quotient is a whole number, then 2 and 3,558,314.5 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 7,116,629
-1 -7,116,629

Now, we try dividing 7,116,629 by 3:

7,116,629 ÷ 3 = 2,372,209.6667

If the quotient is a whole number, then 3 and 2,372,209.6667 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 7,116,629
-1 -7,116,629

Let's try dividing by 4:

7,116,629 ÷ 4 = 1,779,157.25

If the quotient is a whole number, then 4 and 1,779,157.25 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 7,116,629
-1 7,116,629
Keep dividing by the next highest number until you cannot divide anymore.

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

11329433774395591,2475,70712,73116,21118,877165,503245,401547,4337,116,629
-1-13-29-43-377-439-559-1,247-5,707-12,731-16,211-18,877-165,503-245,401-547,433-7,116,629

More Examples

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