Q: What are the factor combinations of the number 787,356,143?

 A:
Positive:   1 x 7873561437 x 11247944919 x 41439797133 x 5919971
Negative: -1 x -787356143-7 x -112479449-19 x -41439797-133 x -5919971


How do I find the factor combinations of the number 787,356,143?

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 787,356,143, 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.

1 787,356,143
-1 -787,356,143

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 787,356,143.

Example:
1 x 787,356,143 = 787,356,143
and
-1 x -787,356,143 = 787,356,143
Notice both answers equal 787,356,143

With that explanation out of the way, let's continue. Next, we take the number 787,356,143 and divide it by 2:

787,356,143 ÷ 2 = 393,678,071.5

If the quotient is a whole number, then 2 and 393,678,071.5 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:

1 787,356,143
-1 -787,356,143

Now, we try dividing 787,356,143 by 3:

787,356,143 ÷ 3 = 262,452,047.6667

If the quotient is a whole number, then 3 and 262,452,047.6667 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:

1 787,356,143
-1 -787,356,143

Let's try dividing by 4:

787,356,143 ÷ 4 = 196,839,035.75

If the quotient is a whole number, then 4 and 196,839,035.75 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:

1 787,356,143
-1 787,356,143
Keep dividing by the next highest number until you cannot divide anymore.

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

17191335,919,97141,439,797112,479,449787,356,143
-1-7-19-133-5,919,971-41,439,797-112,479,449-787,356,143

More Examples

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