Q: What are the factor combinations of the number 9,437,375?

 A:
Positive:   1 x 94373755 x 188747525 x 377495103 x 91625125 x 75499515 x 18325733 x 128752575 x 3665
Negative: -1 x -9437375-5 x -1887475-25 x -377495-103 x -91625-125 x -75499-515 x -18325-733 x -12875-2575 x -3665


How do I find the factor combinations of the number 9,437,375?

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 9,437,375, 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 9,437,375
-1 -9,437,375

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 9,437,375.

Example:
1 x 9,437,375 = 9,437,375
and
-1 x -9,437,375 = 9,437,375
Notice both answers equal 9,437,375

With that explanation out of the way, let's continue. Next, we take the number 9,437,375 and divide it by 2:

9,437,375 ÷ 2 = 4,718,687.5

If the quotient is a whole number, then 2 and 4,718,687.5 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 9,437,375
-1 -9,437,375

Now, we try dividing 9,437,375 by 3:

9,437,375 ÷ 3 = 3,145,791.6667

If the quotient is a whole number, then 3 and 3,145,791.6667 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 9,437,375
-1 -9,437,375

Let's try dividing by 4:

9,437,375 ÷ 4 = 2,359,343.75

If the quotient is a whole number, then 4 and 2,359,343.75 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 9,437,375
-1 9,437,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251031255157332,5753,66512,87518,32575,49991,625377,4951,887,4759,437,375
-1-5-25-103-125-515-733-2,575-3,665-12,875-18,325-75,499-91,625-377,495-1,887,475-9,437,375

More Examples

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