Q: What are the factor combinations of the number 15,602,015?

 A:
Positive:   1 x 156020155 x 312040311 x 141836513 x 120015555 x 28367365 x 240031143 x 109105715 x 21821
Negative: -1 x -15602015-5 x -3120403-11 x -1418365-13 x -1200155-55 x -283673-65 x -240031-143 x -109105-715 x -21821


How do I find the factor combinations of the number 15,602,015?

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 15,602,015, 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 15,602,015
-1 -15,602,015

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 15,602,015.

Example:
1 x 15,602,015 = 15,602,015
and
-1 x -15,602,015 = 15,602,015
Notice both answers equal 15,602,015

With that explanation out of the way, let's continue. Next, we take the number 15,602,015 and divide it by 2:

15,602,015 ÷ 2 = 7,801,007.5

If the quotient is a whole number, then 2 and 7,801,007.5 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 15,602,015
-1 -15,602,015

Now, we try dividing 15,602,015 by 3:

15,602,015 ÷ 3 = 5,200,671.6667

If the quotient is a whole number, then 3 and 5,200,671.6667 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 15,602,015
-1 -15,602,015

Let's try dividing by 4:

15,602,015 ÷ 4 = 3,900,503.75

If the quotient is a whole number, then 4 and 3,900,503.75 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 15,602,015
-1 15,602,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151113556514371521,821109,105240,031283,6731,200,1551,418,3653,120,40315,602,015
-1-5-11-13-55-65-143-715-21,821-109,105-240,031-283,673-1,200,155-1,418,365-3,120,403-15,602,015

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