Q: What are the factor combinations of the number 730,835?

 A:
Positive:   1 x 7308355 x 1461677 x 10440519 x 3846535 x 2088149 x 1491595 x 7693133 x 5495157 x 4655245 x 2983665 x 1099785 x 931
Negative: -1 x -730835-5 x -146167-7 x -104405-19 x -38465-35 x -20881-49 x -14915-95 x -7693-133 x -5495-157 x -4655-245 x -2983-665 x -1099-785 x -931


How do I find the factor combinations of the number 730,835?

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 730,835, 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.

1 730,835
-1 -730,835

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 730,835.

Example:
1 x 730,835 = 730,835
and
-1 x -730,835 = 730,835
Notice both answers equal 730,835

With that explanation out of the way, let's continue. Next, we take the number 730,835 and divide it by 2:

730,835 ÷ 2 = 365,417.5

If the quotient is a whole number, then 2 and 365,417.5 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:

1 730,835
-1 -730,835

Now, we try dividing 730,835 by 3:

730,835 ÷ 3 = 243,611.6667

If the quotient is a whole number, then 3 and 243,611.6667 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:

1 730,835
-1 -730,835

Let's try dividing by 4:

730,835 ÷ 4 = 182,708.75

If the quotient is a whole number, then 4 and 182,708.75 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:

1 730,835
-1 730,835
Keep dividing by the next highest number until you cannot divide anymore.

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

157193549951331572456657859311,0992,9834,6555,4957,69314,91520,88138,465104,405146,167730,835
-1-5-7-19-35-49-95-133-157-245-665-785-931-1,099-2,983-4,655-5,495-7,693-14,915-20,881-38,465-104,405-146,167-730,835

More Examples

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