Q: What are the factor combinations of the number 850,573,175?

 A:
Positive:   1 x 8505731755 x 17011463525 x 34022927131 x 6492925655 x 12985853275 x 259717
Negative: -1 x -850573175-5 x -170114635-25 x -34022927-131 x -6492925-655 x -1298585-3275 x -259717


How do I find the factor combinations of the number 850,573,175?

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 850,573,175, 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.

1 850,573,175
-1 -850,573,175

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 850,573,175.

Example:
1 x 850,573,175 = 850,573,175
and
-1 x -850,573,175 = 850,573,175
Notice both answers equal 850,573,175

With that explanation out of the way, let's continue. Next, we take the number 850,573,175 and divide it by 2:

850,573,175 ÷ 2 = 425,286,587.5

If the quotient is a whole number, then 2 and 425,286,587.5 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:

1 850,573,175
-1 -850,573,175

Now, we try dividing 850,573,175 by 3:

850,573,175 ÷ 3 = 283,524,391.6667

If the quotient is a whole number, then 3 and 283,524,391.6667 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:

1 850,573,175
-1 -850,573,175

Let's try dividing by 4:

850,573,175 ÷ 4 = 212,643,293.75

If the quotient is a whole number, then 4 and 212,643,293.75 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:

1 850,573,175
-1 850,573,175
Keep dividing by the next highest number until you cannot divide anymore.

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

15251316553,275259,7171,298,5856,492,92534,022,927170,114,635850,573,175
-1-5-25-131-655-3,275-259,717-1,298,585-6,492,925-34,022,927-170,114,635-850,573,175

More Examples

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