Q: What are the factor combinations of the number 15,342,655?

 A:
Positive:   1 x 153426555 x 306853159 x 260045295 x 52009
Negative: -1 x -15342655-5 x -3068531-59 x -260045-295 x -52009


How do I find the factor combinations of the number 15,342,655?

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 15,342,655, 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 15,342,655
-1 -15,342,655

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 15,342,655.

Example:
1 x 15,342,655 = 15,342,655
and
-1 x -15,342,655 = 15,342,655
Notice both answers equal 15,342,655

With that explanation out of the way, let's continue. Next, we take the number 15,342,655 and divide it by 2:

15,342,655 ÷ 2 = 7,671,327.5

If the quotient is a whole number, then 2 and 7,671,327.5 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 15,342,655
-1 -15,342,655

Now, we try dividing 15,342,655 by 3:

15,342,655 ÷ 3 = 5,114,218.3333

If the quotient is a whole number, then 3 and 5,114,218.3333 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 15,342,655
-1 -15,342,655

Let's try dividing by 4:

15,342,655 ÷ 4 = 3,835,663.75

If the quotient is a whole number, then 4 and 3,835,663.75 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 15,342,655
-1 15,342,655
Keep dividing by the next highest number until you cannot divide anymore.

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

155929552,009260,0453,068,53115,342,655
-1-5-59-295-52,009-260,045-3,068,531-15,342,655

More Examples

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