Q: What are the factor combinations of the number 18,146,453?

 A:
Positive:   1 x 1814645313 x 139588159 x 307567401 x 45253767 x 236593481 x 5213
Negative: -1 x -18146453-13 x -1395881-59 x -307567-401 x -45253-767 x -23659-3481 x -5213


How do I find the factor combinations of the number 18,146,453?

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 18,146,453, 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 18,146,453
-1 -18,146,453

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 18,146,453.

Example:
1 x 18,146,453 = 18,146,453
and
-1 x -18,146,453 = 18,146,453
Notice both answers equal 18,146,453

With that explanation out of the way, let's continue. Next, we take the number 18,146,453 and divide it by 2:

18,146,453 ÷ 2 = 9,073,226.5

If the quotient is a whole number, then 2 and 9,073,226.5 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 18,146,453
-1 -18,146,453

Now, we try dividing 18,146,453 by 3:

18,146,453 ÷ 3 = 6,048,817.6667

If the quotient is a whole number, then 3 and 6,048,817.6667 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 18,146,453
-1 -18,146,453

Let's try dividing by 4:

18,146,453 ÷ 4 = 4,536,613.25

If the quotient is a whole number, then 4 and 4,536,613.25 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 18,146,453
-1 18,146,453
Keep dividing by the next highest number until you cannot divide anymore.

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

113594017673,4815,21323,65945,253307,5671,395,88118,146,453
-1-13-59-401-767-3,481-5,213-23,659-45,253-307,567-1,395,881-18,146,453

More Examples

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