Q: What are the factor combinations of the number 10,014,499?

 A:
Positive:   1 x 1001449911 x 91040923 x 435413253 x 39583529 x 189311721 x 5819
Negative: -1 x -10014499-11 x -910409-23 x -435413-253 x -39583-529 x -18931-1721 x -5819


How do I find the factor combinations of the number 10,014,499?

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 10,014,499, 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 10,014,499
-1 -10,014,499

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 10,014,499.

Example:
1 x 10,014,499 = 10,014,499
and
-1 x -10,014,499 = 10,014,499
Notice both answers equal 10,014,499

With that explanation out of the way, let's continue. Next, we take the number 10,014,499 and divide it by 2:

10,014,499 ÷ 2 = 5,007,249.5

If the quotient is a whole number, then 2 and 5,007,249.5 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 10,014,499
-1 -10,014,499

Now, we try dividing 10,014,499 by 3:

10,014,499 ÷ 3 = 3,338,166.3333

If the quotient is a whole number, then 3 and 3,338,166.3333 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 10,014,499
-1 -10,014,499

Let's try dividing by 4:

10,014,499 ÷ 4 = 2,503,624.75

If the quotient is a whole number, then 4 and 2,503,624.75 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 10,014,499
-1 10,014,499
Keep dividing by the next highest number until you cannot divide anymore.

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

111232535291,7215,81918,93139,583435,413910,40910,014,499
-1-11-23-253-529-1,721-5,819-18,931-39,583-435,413-910,409-10,014,499

More Examples

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