Q: What are the factor combinations of the number 707,213,885?

 A:
Positive:   1 x 7072138855 x 1414427777 x 10103055535 x 20206111257 x 27518051285 x 5503611799 x 3931158995 x 78623
Negative: -1 x -707213885-5 x -141442777-7 x -101030555-35 x -20206111-257 x -2751805-1285 x -550361-1799 x -393115-8995 x -78623


How do I find the factor combinations of the number 707,213,885?

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 707,213,885, 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.

1 707,213,885
-1 -707,213,885

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 707,213,885.

Example:
1 x 707,213,885 = 707,213,885
and
-1 x -707,213,885 = 707,213,885
Notice both answers equal 707,213,885

With that explanation out of the way, let's continue. Next, we take the number 707,213,885 and divide it by 2:

707,213,885 ÷ 2 = 353,606,942.5

If the quotient is a whole number, then 2 and 353,606,942.5 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:

1 707,213,885
-1 -707,213,885

Now, we try dividing 707,213,885 by 3:

707,213,885 ÷ 3 = 235,737,961.6667

If the quotient is a whole number, then 3 and 235,737,961.6667 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:

1 707,213,885
-1 -707,213,885

Let's try dividing by 4:

707,213,885 ÷ 4 = 176,803,471.25

If the quotient is a whole number, then 4 and 176,803,471.25 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:

1 707,213,885
-1 707,213,885
Keep dividing by the next highest number until you cannot divide anymore.

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

157352571,2851,7998,99578,623393,115550,3612,751,80520,206,111101,030,555141,442,777707,213,885
-1-5-7-35-257-1,285-1,799-8,995-78,623-393,115-550,361-2,751,805-20,206,111-101,030,555-141,442,777-707,213,885

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