Q: What are the factor combinations of the number 5,015,423?

 A:
Positive:   1 x 50154237 x 716489197 x 254591379 x 3637
Negative: -1 x -5015423-7 x -716489-197 x -25459-1379 x -3637


How do I find the factor combinations of the number 5,015,423?

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 5,015,423, 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 5,015,423
-1 -5,015,423

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 5,015,423.

Example:
1 x 5,015,423 = 5,015,423
and
-1 x -5,015,423 = 5,015,423
Notice both answers equal 5,015,423

With that explanation out of the way, let's continue. Next, we take the number 5,015,423 and divide it by 2:

5,015,423 ÷ 2 = 2,507,711.5

If the quotient is a whole number, then 2 and 2,507,711.5 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 5,015,423
-1 -5,015,423

Now, we try dividing 5,015,423 by 3:

5,015,423 ÷ 3 = 1,671,807.6667

If the quotient is a whole number, then 3 and 1,671,807.6667 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 5,015,423
-1 -5,015,423

Let's try dividing by 4:

5,015,423 ÷ 4 = 1,253,855.75

If the quotient is a whole number, then 4 and 1,253,855.75 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 5,015,423
-1 5,015,423
Keep dividing by the next highest number until you cannot divide anymore.

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

171971,3793,63725,459716,4895,015,423
-1-7-197-1,379-3,637-25,459-716,489-5,015,423

More Examples

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