Q: What are the factor combinations of the number 13,422,367?

 A:
Positive:   1 x 134223677 x 191748117 x 789551119 x 112793149 x 90083757 x 177311043 x 128692533 x 5299
Negative: -1 x -13422367-7 x -1917481-17 x -789551-119 x -112793-149 x -90083-757 x -17731-1043 x -12869-2533 x -5299


How do I find the factor combinations of the number 13,422,367?

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 13,422,367, 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 13,422,367
-1 -13,422,367

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 13,422,367.

Example:
1 x 13,422,367 = 13,422,367
and
-1 x -13,422,367 = 13,422,367
Notice both answers equal 13,422,367

With that explanation out of the way, let's continue. Next, we take the number 13,422,367 and divide it by 2:

13,422,367 ÷ 2 = 6,711,183.5

If the quotient is a whole number, then 2 and 6,711,183.5 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 13,422,367
-1 -13,422,367

Now, we try dividing 13,422,367 by 3:

13,422,367 ÷ 3 = 4,474,122.3333

If the quotient is a whole number, then 3 and 4,474,122.3333 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 13,422,367
-1 -13,422,367

Let's try dividing by 4:

13,422,367 ÷ 4 = 3,355,591.75

If the quotient is a whole number, then 4 and 3,355,591.75 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 13,422,367
-1 13,422,367
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191497571,0432,5335,29912,86917,73190,083112,793789,5511,917,48113,422,367
-1-7-17-119-149-757-1,043-2,533-5,299-12,869-17,731-90,083-112,793-789,551-1,917,481-13,422,367

More Examples

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