Q: What are the factor combinations of the number 16,525,481?

 A:
Positive:   1 x 165254817 x 2360783181 x 913011267 x 13043
Negative: -1 x -16525481-7 x -2360783-181 x -91301-1267 x -13043


How do I find the factor combinations of the number 16,525,481?

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 16,525,481, 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 16,525,481
-1 -16,525,481

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 16,525,481.

Example:
1 x 16,525,481 = 16,525,481
and
-1 x -16,525,481 = 16,525,481
Notice both answers equal 16,525,481

With that explanation out of the way, let's continue. Next, we take the number 16,525,481 and divide it by 2:

16,525,481 ÷ 2 = 8,262,740.5

If the quotient is a whole number, then 2 and 8,262,740.5 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 16,525,481
-1 -16,525,481

Now, we try dividing 16,525,481 by 3:

16,525,481 ÷ 3 = 5,508,493.6667

If the quotient is a whole number, then 3 and 5,508,493.6667 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 16,525,481
-1 -16,525,481

Let's try dividing by 4:

16,525,481 ÷ 4 = 4,131,370.25

If the quotient is a whole number, then 4 and 4,131,370.25 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 16,525,481
-1 16,525,481
Keep dividing by the next highest number until you cannot divide anymore.

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

171811,26713,04391,3012,360,78316,525,481
-1-7-181-1,267-13,043-91,301-2,360,783-16,525,481

More Examples

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