Q: What are the factor combinations of the number 787,537,163?

 A:
Positive:   1 x 7875371637 x 11250530949 x 16072187
Negative: -1 x -787537163-7 x -112505309-49 x -16072187


How do I find the factor combinations of the number 787,537,163?

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 787,537,163, 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.

1 787,537,163
-1 -787,537,163

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 787,537,163.

Example:
1 x 787,537,163 = 787,537,163
and
-1 x -787,537,163 = 787,537,163
Notice both answers equal 787,537,163

With that explanation out of the way, let's continue. Next, we take the number 787,537,163 and divide it by 2:

787,537,163 ÷ 2 = 393,768,581.5

If the quotient is a whole number, then 2 and 393,768,581.5 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:

1 787,537,163
-1 -787,537,163

Now, we try dividing 787,537,163 by 3:

787,537,163 ÷ 3 = 262,512,387.6667

If the quotient is a whole number, then 3 and 262,512,387.6667 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:

1 787,537,163
-1 -787,537,163

Let's try dividing by 4:

787,537,163 ÷ 4 = 196,884,290.75

If the quotient is a whole number, then 4 and 196,884,290.75 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:

1 787,537,163
-1 787,537,163
Keep dividing by the next highest number until you cannot divide anymore.

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

174916,072,187112,505,309787,537,163
-1-7-49-16,072,187-112,505,309-787,537,163

More Examples

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