Q: What are the factor combinations of the number 15,018,913?

 A:
Positive:   1 x 150189137 x 214555913 x 115530191 x 165043151 x 994631057 x 142091093 x 137411963 x 7651
Negative: -1 x -15018913-7 x -2145559-13 x -1155301-91 x -165043-151 x -99463-1057 x -14209-1093 x -13741-1963 x -7651


How do I find the factor combinations of the number 15,018,913?

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 15,018,913, 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 15,018,913
-1 -15,018,913

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 15,018,913.

Example:
1 x 15,018,913 = 15,018,913
and
-1 x -15,018,913 = 15,018,913
Notice both answers equal 15,018,913

With that explanation out of the way, let's continue. Next, we take the number 15,018,913 and divide it by 2:

15,018,913 ÷ 2 = 7,509,456.5

If the quotient is a whole number, then 2 and 7,509,456.5 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 15,018,913
-1 -15,018,913

Now, we try dividing 15,018,913 by 3:

15,018,913 ÷ 3 = 5,006,304.3333

If the quotient is a whole number, then 3 and 5,006,304.3333 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 15,018,913
-1 -15,018,913

Let's try dividing by 4:

15,018,913 ÷ 4 = 3,754,728.25

If the quotient is a whole number, then 4 and 3,754,728.25 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 15,018,913
-1 15,018,913
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911511,0571,0931,9637,65113,74114,20999,463165,0431,155,3012,145,55915,018,913
-1-7-13-91-151-1,057-1,093-1,963-7,651-13,741-14,209-99,463-165,043-1,155,301-2,145,559-15,018,913

More Examples

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