Q: What are the factor combinations of the number 964,375?

 A:
Positive:   1 x 9643755 x 19287525 x 38575125 x 7715625 x 1543
Negative: -1 x -964375-5 x -192875-25 x -38575-125 x -7715-625 x -1543


How do I find the factor combinations of the number 964,375?

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 964,375, 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.

1 964,375
-1 -964,375

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 964,375.

Example:
1 x 964,375 = 964,375
and
-1 x -964,375 = 964,375
Notice both answers equal 964,375

With that explanation out of the way, let's continue. Next, we take the number 964,375 and divide it by 2:

964,375 ÷ 2 = 482,187.5

If the quotient is a whole number, then 2 and 482,187.5 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:

1 964,375
-1 -964,375

Now, we try dividing 964,375 by 3:

964,375 ÷ 3 = 321,458.3333

If the quotient is a whole number, then 3 and 321,458.3333 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:

1 964,375
-1 -964,375

Let's try dividing by 4:

964,375 ÷ 4 = 241,093.75

If the quotient is a whole number, then 4 and 241,093.75 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:

1 964,375
-1 964,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251256251,5437,71538,575192,875964,375
-1-5-25-125-625-1,543-7,715-38,575-192,875-964,375

More Examples

Here are some more numbers to try:

Try the factor calculator

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