Q: What are the factor combinations of the number 732,935?

 A:
Positive:   1 x 7329355 x 1465877 x 10470535 x 2094143 x 17045215 x 3409301 x 2435487 x 1505
Negative: -1 x -732935-5 x -146587-7 x -104705-35 x -20941-43 x -17045-215 x -3409-301 x -2435-487 x -1505


How do I find the factor combinations of the number 732,935?

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 732,935, 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.

1 732,935
-1 -732,935

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 732,935.

Example:
1 x 732,935 = 732,935
and
-1 x -732,935 = 732,935
Notice both answers equal 732,935

With that explanation out of the way, let's continue. Next, we take the number 732,935 and divide it by 2:

732,935 ÷ 2 = 366,467.5

If the quotient is a whole number, then 2 and 366,467.5 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:

1 732,935
-1 -732,935

Now, we try dividing 732,935 by 3:

732,935 ÷ 3 = 244,311.6667

If the quotient is a whole number, then 3 and 244,311.6667 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:

1 732,935
-1 -732,935

Let's try dividing by 4:

732,935 ÷ 4 = 183,233.75

If the quotient is a whole number, then 4 and 183,233.75 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:

1 732,935
-1 732,935
Keep dividing by the next highest number until you cannot divide anymore.

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

15735432153014871,5052,4353,40917,04520,941104,705146,587732,935
-1-5-7-35-43-215-301-487-1,505-2,435-3,409-17,045-20,941-104,705-146,587-732,935

More Examples

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