Q: What are the factor combinations of the number 16,335,739?

 A:
Positive:   1 x 163357397 x 233367761 x 26779967 x 243817427 x 38257469 x 34831571 x 286093997 x 4087
Negative: -1 x -16335739-7 x -2333677-61 x -267799-67 x -243817-427 x -38257-469 x -34831-571 x -28609-3997 x -4087


How do I find the factor combinations of the number 16,335,739?

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 16,335,739, 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 16,335,739
-1 -16,335,739

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 16,335,739.

Example:
1 x 16,335,739 = 16,335,739
and
-1 x -16,335,739 = 16,335,739
Notice both answers equal 16,335,739

With that explanation out of the way, let's continue. Next, we take the number 16,335,739 and divide it by 2:

16,335,739 ÷ 2 = 8,167,869.5

If the quotient is a whole number, then 2 and 8,167,869.5 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 16,335,739
-1 -16,335,739

Now, we try dividing 16,335,739 by 3:

16,335,739 ÷ 3 = 5,445,246.3333

If the quotient is a whole number, then 3 and 5,445,246.3333 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 16,335,739
-1 -16,335,739

Let's try dividing by 4:

16,335,739 ÷ 4 = 4,083,934.75

If the quotient is a whole number, then 4 and 4,083,934.75 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 16,335,739
-1 16,335,739
Keep dividing by the next highest number until you cannot divide anymore.

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

1761674274695713,9974,08728,60934,83138,257243,817267,7992,333,67716,335,739
-1-7-61-67-427-469-571-3,997-4,087-28,609-34,831-38,257-243,817-267,799-2,333,677-16,335,739

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