Q: What are the factor combinations of the number 16,602,745?

 A:
Positive:   1 x 166027455 x 332054941 x 404945205 x 80989
Negative: -1 x -16602745-5 x -3320549-41 x -404945-205 x -80989


How do I find the factor combinations of the number 16,602,745?

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 16,602,745, 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 16,602,745
-1 -16,602,745

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 16,602,745.

Example:
1 x 16,602,745 = 16,602,745
and
-1 x -16,602,745 = 16,602,745
Notice both answers equal 16,602,745

With that explanation out of the way, let's continue. Next, we take the number 16,602,745 and divide it by 2:

16,602,745 ÷ 2 = 8,301,372.5

If the quotient is a whole number, then 2 and 8,301,372.5 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 16,602,745
-1 -16,602,745

Now, we try dividing 16,602,745 by 3:

16,602,745 ÷ 3 = 5,534,248.3333

If the quotient is a whole number, then 3 and 5,534,248.3333 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 16,602,745
-1 -16,602,745

Let's try dividing by 4:

16,602,745 ÷ 4 = 4,150,686.25

If the quotient is a whole number, then 4 and 4,150,686.25 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 16,602,745
-1 16,602,745
Keep dividing by the next highest number until you cannot divide anymore.

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

154120580,989404,9453,320,54916,602,745
-1-5-41-205-80,989-404,945-3,320,549-16,602,745

More Examples

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