Q: What are the factor combinations of the number 713,796?

 A:
Positive:   1 x 7137962 x 3568983 x 2379324 x 1784496 x 11896612 x 5948317 x 4198834 x 2099451 x 1399668 x 10497102 x 6998204 x 3499
Negative: -1 x -713796-2 x -356898-3 x -237932-4 x -178449-6 x -118966-12 x -59483-17 x -41988-34 x -20994-51 x -13996-68 x -10497-102 x -6998-204 x -3499


How do I find the factor combinations of the number 713,796?

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 713,796, 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.

1 713,796
-1 -713,796

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 713,796.

Example:
1 x 713,796 = 713,796
and
-1 x -713,796 = 713,796
Notice both answers equal 713,796

With that explanation out of the way, let's continue. Next, we take the number 713,796 and divide it by 2:

713,796 ÷ 2 = 356,898

If the quotient is a whole number, then 2 and 356,898 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 356,898 713,796
-1 -2 -356,898 -713,796

Now, we try dividing 713,796 by 3:

713,796 ÷ 3 = 237,932

If the quotient is a whole number, then 3 and 237,932 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 237,932 356,898 713,796
-1 -2 -3 -237,932 -356,898 -713,796

Let's try dividing by 4:

713,796 ÷ 4 = 178,449

If the quotient is a whole number, then 4 and 178,449 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 178,449 237,932 356,898 713,796
-1 -2 -3 -4 -178,449 -237,932 -356,898 713,796
Keep dividing by the next highest number until you cannot divide anymore.

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

1234612173451681022043,4996,99810,49713,99620,99441,98859,483118,966178,449237,932356,898713,796
-1-2-3-4-6-12-17-34-51-68-102-204-3,499-6,998-10,497-13,996-20,994-41,988-59,483-118,966-178,449-237,932-356,898-713,796

More Examples

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