Q: What are the factor combinations of the number 600,725?

 A:
Positive:   1 x 6007255 x 12014525 x 24029
Negative: -1 x -600725-5 x -120145-25 x -24029


How do I find the factor combinations of the number 600,725?

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 600,725, 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.

1 600,725
-1 -600,725

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 600,725.

Example:
1 x 600,725 = 600,725
and
-1 x -600,725 = 600,725
Notice both answers equal 600,725

With that explanation out of the way, let's continue. Next, we take the number 600,725 and divide it by 2:

600,725 ÷ 2 = 300,362.5

If the quotient is a whole number, then 2 and 300,362.5 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:

1 600,725
-1 -600,725

Now, we try dividing 600,725 by 3:

600,725 ÷ 3 = 200,241.6667

If the quotient is a whole number, then 3 and 200,241.6667 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:

1 600,725
-1 -600,725

Let's try dividing by 4:

600,725 ÷ 4 = 150,181.25

If the quotient is a whole number, then 4 and 150,181.25 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:

1 600,725
-1 600,725
Keep dividing by the next highest number until you cannot divide anymore.

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

152524,029120,145600,725
-1-5-25-24,029-120,145-600,725

More Examples

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