Q: What are the factor combinations of the number 16,840,135?

 A:
Positive:   1 x 168401355 x 336802713 x 129539541 x 41073565 x 25907971 x 23718589 x 189215205 x 82147355 x 47437445 x 37843533 x 31595923 x 182451157 x 145552665 x 63192911 x 57853649 x 4615
Negative: -1 x -16840135-5 x -3368027-13 x -1295395-41 x -410735-65 x -259079-71 x -237185-89 x -189215-205 x -82147-355 x -47437-445 x -37843-533 x -31595-923 x -18245-1157 x -14555-2665 x -6319-2911 x -5785-3649 x -4615


How do I find the factor combinations of the number 16,840,135?

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 16,840,135, 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 16,840,135
-1 -16,840,135

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 16,840,135.

Example:
1 x 16,840,135 = 16,840,135
and
-1 x -16,840,135 = 16,840,135
Notice both answers equal 16,840,135

With that explanation out of the way, let's continue. Next, we take the number 16,840,135 and divide it by 2:

16,840,135 ÷ 2 = 8,420,067.5

If the quotient is a whole number, then 2 and 8,420,067.5 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 16,840,135
-1 -16,840,135

Now, we try dividing 16,840,135 by 3:

16,840,135 ÷ 3 = 5,613,378.3333

If the quotient is a whole number, then 3 and 5,613,378.3333 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 16,840,135
-1 -16,840,135

Let's try dividing by 4:

16,840,135 ÷ 4 = 4,210,033.75

If the quotient is a whole number, then 4 and 4,210,033.75 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 16,840,135
-1 16,840,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1513416571892053554455339231,1572,6652,9113,6494,6155,7856,31914,55518,24531,59537,84347,43782,147189,215237,185259,079410,7351,295,3953,368,02716,840,135
-1-5-13-41-65-71-89-205-355-445-533-923-1,157-2,665-2,911-3,649-4,615-5,785-6,319-14,555-18,245-31,595-37,843-47,437-82,147-189,215-237,185-259,079-410,735-1,295,395-3,368,027-16,840,135

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