Q: What are the factor combinations of the number 703,423,015?

 A:
Positive:   1 x 7034230155 x 14068460331 x 22691065155 x 4538213181 x 3886315905 x 7772635611 x 12536525073 x 28055
Negative: -1 x -703423015-5 x -140684603-31 x -22691065-155 x -4538213-181 x -3886315-905 x -777263-5611 x -125365-25073 x -28055


How do I find the factor combinations of the number 703,423,015?

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 703,423,015, 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.

1 703,423,015
-1 -703,423,015

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 703,423,015.

Example:
1 x 703,423,015 = 703,423,015
and
-1 x -703,423,015 = 703,423,015
Notice both answers equal 703,423,015

With that explanation out of the way, let's continue. Next, we take the number 703,423,015 and divide it by 2:

703,423,015 ÷ 2 = 351,711,507.5

If the quotient is a whole number, then 2 and 351,711,507.5 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:

1 703,423,015
-1 -703,423,015

Now, we try dividing 703,423,015 by 3:

703,423,015 ÷ 3 = 234,474,338.3333

If the quotient is a whole number, then 3 and 234,474,338.3333 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:

1 703,423,015
-1 -703,423,015

Let's try dividing by 4:

703,423,015 ÷ 4 = 175,855,753.75

If the quotient is a whole number, then 4 and 175,855,753.75 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:

1 703,423,015
-1 703,423,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15311551819055,61125,07328,055125,365777,2633,886,3154,538,21322,691,065140,684,603703,423,015
-1-5-31-155-181-905-5,611-25,073-28,055-125,365-777,263-3,886,315-4,538,213-22,691,065-140,684,603-703,423,015

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