Q: What are the factor combinations of the number 787,050,865?

 A:
Positive:   1 x 7870508655 x 15741017329 x 2713968537 x 21271645145 x 5427937185 x 42543291073 x 7335055365 x 146701
Negative: -1 x -787050865-5 x -157410173-29 x -27139685-37 x -21271645-145 x -5427937-185 x -4254329-1073 x -733505-5365 x -146701


How do I find the factor combinations of the number 787,050,865?

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 787,050,865, 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.

1 787,050,865
-1 -787,050,865

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 787,050,865.

Example:
1 x 787,050,865 = 787,050,865
and
-1 x -787,050,865 = 787,050,865
Notice both answers equal 787,050,865

With that explanation out of the way, let's continue. Next, we take the number 787,050,865 and divide it by 2:

787,050,865 ÷ 2 = 393,525,432.5

If the quotient is a whole number, then 2 and 393,525,432.5 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:

1 787,050,865
-1 -787,050,865

Now, we try dividing 787,050,865 by 3:

787,050,865 ÷ 3 = 262,350,288.3333

If the quotient is a whole number, then 3 and 262,350,288.3333 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:

1 787,050,865
-1 -787,050,865

Let's try dividing by 4:

787,050,865 ÷ 4 = 196,762,716.25

If the quotient is a whole number, then 4 and 196,762,716.25 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:

1 787,050,865
-1 787,050,865
Keep dividing by the next highest number until you cannot divide anymore.

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

1529371451851,0735,365146,701733,5054,254,3295,427,93721,271,64527,139,685157,410,173787,050,865
-1-5-29-37-145-185-1,073-5,365-146,701-733,505-4,254,329-5,427,937-21,271,645-27,139,685-157,410,173-787,050,865

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