Q: What are the factor combinations of the number 731,815?

 A:
Positive:   1 x 7318155 x 1463637 x 10454529 x 2523535 x 2090949 x 14935103 x 7105145 x 5047203 x 3605245 x 2987515 x 1421721 x 1015
Negative: -1 x -731815-5 x -146363-7 x -104545-29 x -25235-35 x -20909-49 x -14935-103 x -7105-145 x -5047-203 x -3605-245 x -2987-515 x -1421-721 x -1015


How do I find the factor combinations of the number 731,815?

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 731,815, 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.

1 731,815
-1 -731,815

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 731,815.

Example:
1 x 731,815 = 731,815
and
-1 x -731,815 = 731,815
Notice both answers equal 731,815

With that explanation out of the way, let's continue. Next, we take the number 731,815 and divide it by 2:

731,815 ÷ 2 = 365,907.5

If the quotient is a whole number, then 2 and 365,907.5 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:

1 731,815
-1 -731,815

Now, we try dividing 731,815 by 3:

731,815 ÷ 3 = 243,938.3333

If the quotient is a whole number, then 3 and 243,938.3333 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:

1 731,815
-1 -731,815

Let's try dividing by 4:

731,815 ÷ 4 = 182,953.75

If the quotient is a whole number, then 4 and 182,953.75 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:

1 731,815
-1 731,815
Keep dividing by the next highest number until you cannot divide anymore.

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

1572935491031452032455157211,0151,4212,9873,6055,0477,10514,93520,90925,235104,545146,363731,815
-1-5-7-29-35-49-103-145-203-245-515-721-1,015-1,421-2,987-3,605-5,047-7,105-14,935-20,909-25,235-104,545-146,363-731,815

More Examples

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