Q: What are the factor combinations of the number 7,030,673?

 A:
Positive:   1 x 703067313 x 54082117 x 41356929 x 242437221 x 31813377 x 18649493 x 142611097 x 6409
Negative: -1 x -7030673-13 x -540821-17 x -413569-29 x -242437-221 x -31813-377 x -18649-493 x -14261-1097 x -6409


How do I find the factor combinations of the number 7,030,673?

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 7,030,673, 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 7,030,673
-1 -7,030,673

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 7,030,673.

Example:
1 x 7,030,673 = 7,030,673
and
-1 x -7,030,673 = 7,030,673
Notice both answers equal 7,030,673

With that explanation out of the way, let's continue. Next, we take the number 7,030,673 and divide it by 2:

7,030,673 ÷ 2 = 3,515,336.5

If the quotient is a whole number, then 2 and 3,515,336.5 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 7,030,673
-1 -7,030,673

Now, we try dividing 7,030,673 by 3:

7,030,673 ÷ 3 = 2,343,557.6667

If the quotient is a whole number, then 3 and 2,343,557.6667 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 7,030,673
-1 -7,030,673

Let's try dividing by 4:

7,030,673 ÷ 4 = 1,757,668.25

If the quotient is a whole number, then 4 and 1,757,668.25 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 7,030,673
-1 7,030,673
Keep dividing by the next highest number until you cannot divide anymore.

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

11317292213774931,0976,40914,26118,64931,813242,437413,569540,8217,030,673
-1-13-17-29-221-377-493-1,097-6,409-14,261-18,649-31,813-242,437-413,569-540,821-7,030,673

More Examples

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