Q: What are the factor combinations of the number 1,336,489?

 A:
Positive:   1 x 13364897 x 19092711 x 12149917 x 7861777 x 17357119 x 11231187 x 71471021 x 1309
Negative: -1 x -1336489-7 x -190927-11 x -121499-17 x -78617-77 x -17357-119 x -11231-187 x -7147-1021 x -1309


How do I find the factor combinations of the number 1,336,489?

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 1,336,489, 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 1,336,489
-1 -1,336,489

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 1,336,489.

Example:
1 x 1,336,489 = 1,336,489
and
-1 x -1,336,489 = 1,336,489
Notice both answers equal 1,336,489

With that explanation out of the way, let's continue. Next, we take the number 1,336,489 and divide it by 2:

1,336,489 ÷ 2 = 668,244.5

If the quotient is a whole number, then 2 and 668,244.5 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 1,336,489
-1 -1,336,489

Now, we try dividing 1,336,489 by 3:

1,336,489 ÷ 3 = 445,496.3333

If the quotient is a whole number, then 3 and 445,496.3333 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 1,336,489
-1 -1,336,489

Let's try dividing by 4:

1,336,489 ÷ 4 = 334,122.25

If the quotient is a whole number, then 4 and 334,122.25 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 1,336,489
-1 1,336,489
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191871,0211,3097,14711,23117,35778,617121,499190,9271,336,489
-1-7-11-17-77-119-187-1,021-1,309-7,147-11,231-17,357-78,617-121,499-190,927-1,336,489

More Examples

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