Q: What are the factor combinations of the number 1,672,517?

 A:
Positive:   1 x 16725177 x 23893111 x 15204729 x 5767349 x 3413377 x 21721107 x 15631203 x 8239319 x 5243539 x 3103749 x 22331177 x 1421
Negative: -1 x -1672517-7 x -238931-11 x -152047-29 x -57673-49 x -34133-77 x -21721-107 x -15631-203 x -8239-319 x -5243-539 x -3103-749 x -2233-1177 x -1421


How do I find the factor combinations of the number 1,672,517?

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 1,672,517, 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 1,672,517
-1 -1,672,517

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 1,672,517.

Example:
1 x 1,672,517 = 1,672,517
and
-1 x -1,672,517 = 1,672,517
Notice both answers equal 1,672,517

With that explanation out of the way, let's continue. Next, we take the number 1,672,517 and divide it by 2:

1,672,517 ÷ 2 = 836,258.5

If the quotient is a whole number, then 2 and 836,258.5 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 1,672,517
-1 -1,672,517

Now, we try dividing 1,672,517 by 3:

1,672,517 ÷ 3 = 557,505.6667

If the quotient is a whole number, then 3 and 557,505.6667 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 1,672,517
-1 -1,672,517

Let's try dividing by 4:

1,672,517 ÷ 4 = 418,129.25

If the quotient is a whole number, then 4 and 418,129.25 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 1,672,517
-1 1,672,517
Keep dividing by the next highest number until you cannot divide anymore.

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

17112949771072033195397491,1771,4212,2333,1035,2438,23915,63121,72134,13357,673152,047238,9311,672,517
-1-7-11-29-49-77-107-203-319-539-749-1,177-1,421-2,233-3,103-5,243-8,239-15,631-21,721-34,133-57,673-152,047-238,931-1,672,517

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