Q: What are the factor combinations of the number 759,341?

 A:
Positive:   1 x 75934111 x 69031
Negative: -1 x -759341-11 x -69031


How do I find the factor combinations of the number 759,341?

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 759,341, 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.

1 759,341
-1 -759,341

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 759,341.

Example:
1 x 759,341 = 759,341
and
-1 x -759,341 = 759,341
Notice both answers equal 759,341

With that explanation out of the way, let's continue. Next, we take the number 759,341 and divide it by 2:

759,341 ÷ 2 = 379,670.5

If the quotient is a whole number, then 2 and 379,670.5 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:

1 759,341
-1 -759,341

Now, we try dividing 759,341 by 3:

759,341 ÷ 3 = 253,113.6667

If the quotient is a whole number, then 3 and 253,113.6667 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:

1 759,341
-1 -759,341

Let's try dividing by 4:

759,341 ÷ 4 = 189,835.25

If the quotient is a whole number, then 4 and 189,835.25 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:

1 759,341
-1 759,341
Keep dividing by the next highest number until you cannot divide anymore.

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

11169,031759,341
-1-11-69,031-759,341

More Examples

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