Q: What are the factor combinations of the number 7,718,731?

 A:
Positive:   1 x 771873117 x 45404319 x 40624923 x 335597323 x 23897391 x 19741437 x 176631039 x 7429
Negative: -1 x -7718731-17 x -454043-19 x -406249-23 x -335597-323 x -23897-391 x -19741-437 x -17663-1039 x -7429


How do I find the factor combinations of the number 7,718,731?

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 7,718,731, 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 7,718,731
-1 -7,718,731

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 7,718,731.

Example:
1 x 7,718,731 = 7,718,731
and
-1 x -7,718,731 = 7,718,731
Notice both answers equal 7,718,731

With that explanation out of the way, let's continue. Next, we take the number 7,718,731 and divide it by 2:

7,718,731 ÷ 2 = 3,859,365.5

If the quotient is a whole number, then 2 and 3,859,365.5 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 7,718,731
-1 -7,718,731

Now, we try dividing 7,718,731 by 3:

7,718,731 ÷ 3 = 2,572,910.3333

If the quotient is a whole number, then 3 and 2,572,910.3333 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 7,718,731
-1 -7,718,731

Let's try dividing by 4:

7,718,731 ÷ 4 = 1,929,682.75

If the quotient is a whole number, then 4 and 1,929,682.75 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 7,718,731
-1 7,718,731
Keep dividing by the next highest number until you cannot divide anymore.

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

11719233233914371,0397,42917,66319,74123,897335,597406,249454,0437,718,731
-1-17-19-23-323-391-437-1,039-7,429-17,663-19,741-23,897-335,597-406,249-454,043-7,718,731

More Examples

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