Q: What are the factor combinations of the number 7,225,673?

 A:
Positive:   1 x 72256737 x 103223913 x 55582191 x 79403271 x 26663293 x 246611897 x 38092051 x 3523
Negative: -1 x -7225673-7 x -1032239-13 x -555821-91 x -79403-271 x -26663-293 x -24661-1897 x -3809-2051 x -3523


How do I find the factor combinations of the number 7,225,673?

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 7,225,673, 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 7,225,673
-1 -7,225,673

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 7,225,673.

Example:
1 x 7,225,673 = 7,225,673
and
-1 x -7,225,673 = 7,225,673
Notice both answers equal 7,225,673

With that explanation out of the way, let's continue. Next, we take the number 7,225,673 and divide it by 2:

7,225,673 ÷ 2 = 3,612,836.5

If the quotient is a whole number, then 2 and 3,612,836.5 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 7,225,673
-1 -7,225,673

Now, we try dividing 7,225,673 by 3:

7,225,673 ÷ 3 = 2,408,557.6667

If the quotient is a whole number, then 3 and 2,408,557.6667 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 7,225,673
-1 -7,225,673

Let's try dividing by 4:

7,225,673 ÷ 4 = 1,806,418.25

If the quotient is a whole number, then 4 and 1,806,418.25 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 7,225,673
-1 7,225,673
Keep dividing by the next highest number until you cannot divide anymore.

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

1713912712931,8972,0513,5233,80924,66126,66379,403555,8211,032,2397,225,673
-1-7-13-91-271-293-1,897-2,051-3,523-3,809-24,661-26,663-79,403-555,821-1,032,239-7,225,673

More Examples

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