Q: What are the factor combinations of the number 16,376,705?

 A:
Positive:   1 x 163767055 x 3275341109 x 150245151 x 108455199 x 82295545 x 30049755 x 21691995 x 16459
Negative: -1 x -16376705-5 x -3275341-109 x -150245-151 x -108455-199 x -82295-545 x -30049-755 x -21691-995 x -16459


How do I find the factor combinations of the number 16,376,705?

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 16,376,705, 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 16,376,705
-1 -16,376,705

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 16,376,705.

Example:
1 x 16,376,705 = 16,376,705
and
-1 x -16,376,705 = 16,376,705
Notice both answers equal 16,376,705

With that explanation out of the way, let's continue. Next, we take the number 16,376,705 and divide it by 2:

16,376,705 ÷ 2 = 8,188,352.5

If the quotient is a whole number, then 2 and 8,188,352.5 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 16,376,705
-1 -16,376,705

Now, we try dividing 16,376,705 by 3:

16,376,705 ÷ 3 = 5,458,901.6667

If the quotient is a whole number, then 3 and 5,458,901.6667 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 16,376,705
-1 -16,376,705

Let's try dividing by 4:

16,376,705 ÷ 4 = 4,094,176.25

If the quotient is a whole number, then 4 and 4,094,176.25 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 16,376,705
-1 16,376,705
Keep dividing by the next highest number until you cannot divide anymore.

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

1510915119954575599516,45921,69130,04982,295108,455150,2453,275,34116,376,705
-1-5-109-151-199-545-755-995-16,459-21,691-30,049-82,295-108,455-150,245-3,275,341-16,376,705

More Examples

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