Q: What are the factor combinations of the number 16,745,645?

 A:
Positive:   1 x 167456455 x 33491297 x 239223535 x 47844737 x 45258567 x 249935185 x 90517193 x 86765259 x 64655335 x 49987469 x 35705965 x 173531295 x 129311351 x 123952345 x 71412479 x 6755
Negative: -1 x -16745645-5 x -3349129-7 x -2392235-35 x -478447-37 x -452585-67 x -249935-185 x -90517-193 x -86765-259 x -64655-335 x -49987-469 x -35705-965 x -17353-1295 x -12931-1351 x -12395-2345 x -7141-2479 x -6755


How do I find the factor combinations of the number 16,745,645?

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 16,745,645, 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 16,745,645
-1 -16,745,645

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 16,745,645.

Example:
1 x 16,745,645 = 16,745,645
and
-1 x -16,745,645 = 16,745,645
Notice both answers equal 16,745,645

With that explanation out of the way, let's continue. Next, we take the number 16,745,645 and divide it by 2:

16,745,645 ÷ 2 = 8,372,822.5

If the quotient is a whole number, then 2 and 8,372,822.5 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 16,745,645
-1 -16,745,645

Now, we try dividing 16,745,645 by 3:

16,745,645 ÷ 3 = 5,581,881.6667

If the quotient is a whole number, then 3 and 5,581,881.6667 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 16,745,645
-1 -16,745,645

Let's try dividing by 4:

16,745,645 ÷ 4 = 4,186,411.25

If the quotient is a whole number, then 4 and 4,186,411.25 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 16,745,645
-1 16,745,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1573537671851932593354699651,2951,3512,3452,4796,7557,14112,39512,93117,35335,70549,98764,65586,76590,517249,935452,585478,4472,392,2353,349,12916,745,645
-1-5-7-35-37-67-185-193-259-335-469-965-1,295-1,351-2,345-2,479-6,755-7,141-12,395-12,931-17,353-35,705-49,987-64,655-86,765-90,517-249,935-452,585-478,447-2,392,235-3,349,129-16,745,645

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