Q: What are the factor combinations of the number 15,163,873?

 A:
Positive:   1 x 15163873151 x 100423233 x 65081431 x 35183
Negative: -1 x -15163873-151 x -100423-233 x -65081-431 x -35183


How do I find the factor combinations of the number 15,163,873?

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 15,163,873, 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 15,163,873
-1 -15,163,873

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 15,163,873.

Example:
1 x 15,163,873 = 15,163,873
and
-1 x -15,163,873 = 15,163,873
Notice both answers equal 15,163,873

With that explanation out of the way, let's continue. Next, we take the number 15,163,873 and divide it by 2:

15,163,873 ÷ 2 = 7,581,936.5

If the quotient is a whole number, then 2 and 7,581,936.5 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 15,163,873
-1 -15,163,873

Now, we try dividing 15,163,873 by 3:

15,163,873 ÷ 3 = 5,054,624.3333

If the quotient is a whole number, then 3 and 5,054,624.3333 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 15,163,873
-1 -15,163,873

Let's try dividing by 4:

15,163,873 ÷ 4 = 3,790,968.25

If the quotient is a whole number, then 4 and 3,790,968.25 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 15,163,873
-1 15,163,873
Keep dividing by the next highest number until you cannot divide anymore.

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

115123343135,18365,081100,42315,163,873
-1-151-233-431-35,183-65,081-100,423-15,163,873

More Examples

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