Q: What are the factor combinations of the number 15,522,535?

 A:
Positive:   1 x 155225355 x 31045077 x 221750535 x 443501
Negative: -1 x -15522535-5 x -3104507-7 x -2217505-35 x -443501


How do I find the factor combinations of the number 15,522,535?

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 15,522,535, 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 15,522,535
-1 -15,522,535

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 15,522,535.

Example:
1 x 15,522,535 = 15,522,535
and
-1 x -15,522,535 = 15,522,535
Notice both answers equal 15,522,535

With that explanation out of the way, let's continue. Next, we take the number 15,522,535 and divide it by 2:

15,522,535 ÷ 2 = 7,761,267.5

If the quotient is a whole number, then 2 and 7,761,267.5 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 15,522,535
-1 -15,522,535

Now, we try dividing 15,522,535 by 3:

15,522,535 ÷ 3 = 5,174,178.3333

If the quotient is a whole number, then 3 and 5,174,178.3333 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 15,522,535
-1 -15,522,535

Let's try dividing by 4:

15,522,535 ÷ 4 = 3,880,633.75

If the quotient is a whole number, then 4 and 3,880,633.75 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 15,522,535
-1 15,522,535
Keep dividing by the next highest number until you cannot divide anymore.

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

15735443,5012,217,5053,104,50715,522,535
-1-5-7-35-443,501-2,217,505-3,104,507-15,522,535

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,522,535:


Ask a Question