Q: What are the factor combinations of the number 710,885?

 A:
Positive:   1 x 7108855 x 1421777 x 10155519 x 3741535 x 2031195 x 7483133 x 5345665 x 1069
Negative: -1 x -710885-5 x -142177-7 x -101555-19 x -37415-35 x -20311-95 x -7483-133 x -5345-665 x -1069


How do I find the factor combinations of the number 710,885?

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 710,885, 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.

1 710,885
-1 -710,885

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 710,885.

Example:
1 x 710,885 = 710,885
and
-1 x -710,885 = 710,885
Notice both answers equal 710,885

With that explanation out of the way, let's continue. Next, we take the number 710,885 and divide it by 2:

710,885 ÷ 2 = 355,442.5

If the quotient is a whole number, then 2 and 355,442.5 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:

1 710,885
-1 -710,885

Now, we try dividing 710,885 by 3:

710,885 ÷ 3 = 236,961.6667

If the quotient is a whole number, then 3 and 236,961.6667 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:

1 710,885
-1 -710,885

Let's try dividing by 4:

710,885 ÷ 4 = 177,721.25

If the quotient is a whole number, then 4 and 177,721.25 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:

1 710,885
-1 710,885
Keep dividing by the next highest number until you cannot divide anymore.

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

1571935951336651,0695,3457,48320,31137,415101,555142,177710,885
-1-5-7-19-35-95-133-665-1,069-5,345-7,483-20,311-37,415-101,555-142,177-710,885

More Examples

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