Q: What are the factor combinations of the number 9,250,367?

 A:
Positive:   1 x 92503677 x 132148149 x 188783149 x 62083181 x 51107343 x 269691043 x 88691267 x 7301
Negative: -1 x -9250367-7 x -1321481-49 x -188783-149 x -62083-181 x -51107-343 x -26969-1043 x -8869-1267 x -7301


How do I find the factor combinations of the number 9,250,367?

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 9,250,367, 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 9,250,367
-1 -9,250,367

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 9,250,367.

Example:
1 x 9,250,367 = 9,250,367
and
-1 x -9,250,367 = 9,250,367
Notice both answers equal 9,250,367

With that explanation out of the way, let's continue. Next, we take the number 9,250,367 and divide it by 2:

9,250,367 ÷ 2 = 4,625,183.5

If the quotient is a whole number, then 2 and 4,625,183.5 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 9,250,367
-1 -9,250,367

Now, we try dividing 9,250,367 by 3:

9,250,367 ÷ 3 = 3,083,455.6667

If the quotient is a whole number, then 3 and 3,083,455.6667 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 9,250,367
-1 -9,250,367

Let's try dividing by 4:

9,250,367 ÷ 4 = 2,312,591.75

If the quotient is a whole number, then 4 and 2,312,591.75 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 9,250,367
-1 9,250,367
Keep dividing by the next highest number until you cannot divide anymore.

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

17491491813431,0431,2677,3018,86926,96951,10762,083188,7831,321,4819,250,367
-1-7-49-149-181-343-1,043-1,267-7,301-8,869-26,969-51,107-62,083-188,783-1,321,481-9,250,367

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