Q: What are the factor combinations of the number 16,800,235?

 A:
Positive:   1 x 168002355 x 336004723 x 730445115 x 146089139 x 120865695 x 241731051 x 159853197 x 5255
Negative: -1 x -16800235-5 x -3360047-23 x -730445-115 x -146089-139 x -120865-695 x -24173-1051 x -15985-3197 x -5255


How do I find the factor combinations of the number 16,800,235?

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 16,800,235, 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 16,800,235
-1 -16,800,235

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 16,800,235.

Example:
1 x 16,800,235 = 16,800,235
and
-1 x -16,800,235 = 16,800,235
Notice both answers equal 16,800,235

With that explanation out of the way, let's continue. Next, we take the number 16,800,235 and divide it by 2:

16,800,235 ÷ 2 = 8,400,117.5

If the quotient is a whole number, then 2 and 8,400,117.5 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 16,800,235
-1 -16,800,235

Now, we try dividing 16,800,235 by 3:

16,800,235 ÷ 3 = 5,600,078.3333

If the quotient is a whole number, then 3 and 5,600,078.3333 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 16,800,235
-1 -16,800,235

Let's try dividing by 4:

16,800,235 ÷ 4 = 4,200,058.75

If the quotient is a whole number, then 4 and 4,200,058.75 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 16,800,235
-1 16,800,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151396951,0513,1975,25515,98524,173120,865146,089730,4453,360,04716,800,235
-1-5-23-115-139-695-1,051-3,197-5,255-15,985-24,173-120,865-146,089-730,445-3,360,047-16,800,235

More Examples

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