Q: What are the factor combinations of the number 16,704,233?

 A:
Positive:   1 x 167042337 x 238631913 x 128494123 x 72627191 x 183563161 x 103753299 x 55867347 x 48139529 x 315772093 x 79812429 x 68773703 x 4511
Negative: -1 x -16704233-7 x -2386319-13 x -1284941-23 x -726271-91 x -183563-161 x -103753-299 x -55867-347 x -48139-529 x -31577-2093 x -7981-2429 x -6877-3703 x -4511


How do I find the factor combinations of the number 16,704,233?

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 16,704,233, 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 16,704,233
-1 -16,704,233

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 16,704,233.

Example:
1 x 16,704,233 = 16,704,233
and
-1 x -16,704,233 = 16,704,233
Notice both answers equal 16,704,233

With that explanation out of the way, let's continue. Next, we take the number 16,704,233 and divide it by 2:

16,704,233 ÷ 2 = 8,352,116.5

If the quotient is a whole number, then 2 and 8,352,116.5 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 16,704,233
-1 -16,704,233

Now, we try dividing 16,704,233 by 3:

16,704,233 ÷ 3 = 5,568,077.6667

If the quotient is a whole number, then 3 and 5,568,077.6667 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 16,704,233
-1 -16,704,233

Let's try dividing by 4:

16,704,233 ÷ 4 = 4,176,058.25

If the quotient is a whole number, then 4 and 4,176,058.25 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 16,704,233
-1 16,704,233
Keep dividing by the next highest number until you cannot divide anymore.

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

171323911612993475292,0932,4293,7034,5116,8777,98131,57748,13955,867103,753183,563726,2711,284,9412,386,31916,704,233
-1-7-13-23-91-161-299-347-529-2,093-2,429-3,703-4,511-6,877-7,981-31,577-48,139-55,867-103,753-183,563-726,271-1,284,941-2,386,319-16,704,233

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