Q: What are the factor combinations of the number 732,725?

 A:
Positive:   1 x 7327255 x 1465457 x 10467525 x 2930935 x 2093553 x 1382579 x 9275175 x 4187265 x 2765371 x 1975395 x 1855553 x 1325
Negative: -1 x -732725-5 x -146545-7 x -104675-25 x -29309-35 x -20935-53 x -13825-79 x -9275-175 x -4187-265 x -2765-371 x -1975-395 x -1855-553 x -1325


How do I find the factor combinations of the number 732,725?

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 732,725, 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.

1 732,725
-1 -732,725

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 732,725.

Example:
1 x 732,725 = 732,725
and
-1 x -732,725 = 732,725
Notice both answers equal 732,725

With that explanation out of the way, let's continue. Next, we take the number 732,725 and divide it by 2:

732,725 ÷ 2 = 366,362.5

If the quotient is a whole number, then 2 and 366,362.5 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:

1 732,725
-1 -732,725

Now, we try dividing 732,725 by 3:

732,725 ÷ 3 = 244,241.6667

If the quotient is a whole number, then 3 and 244,241.6667 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:

1 732,725
-1 -732,725

Let's try dividing by 4:

732,725 ÷ 4 = 183,181.25

If the quotient is a whole number, then 4 and 183,181.25 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:

1 732,725
-1 732,725
Keep dividing by the next highest number until you cannot divide anymore.

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

157253553791752653713955531,3251,8551,9752,7654,1879,27513,82520,93529,309104,675146,545732,725
-1-5-7-25-35-53-79-175-265-371-395-553-1,325-1,855-1,975-2,765-4,187-9,275-13,825-20,935-29,309-104,675-146,545-732,725

More Examples

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