Q: What are the factor combinations of the number 15,223,243?

 A:
Positive:   1 x 152232437 x 217474937 x 41143953 x 287231259 x 58777371 x 410331109 x 137271961 x 7763
Negative: -1 x -15223243-7 x -2174749-37 x -411439-53 x -287231-259 x -58777-371 x -41033-1109 x -13727-1961 x -7763


How do I find the factor combinations of the number 15,223,243?

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 15,223,243, 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 15,223,243
-1 -15,223,243

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 15,223,243.

Example:
1 x 15,223,243 = 15,223,243
and
-1 x -15,223,243 = 15,223,243
Notice both answers equal 15,223,243

With that explanation out of the way, let's continue. Next, we take the number 15,223,243 and divide it by 2:

15,223,243 ÷ 2 = 7,611,621.5

If the quotient is a whole number, then 2 and 7,611,621.5 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 15,223,243
-1 -15,223,243

Now, we try dividing 15,223,243 by 3:

15,223,243 ÷ 3 = 5,074,414.3333

If the quotient is a whole number, then 3 and 5,074,414.3333 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 15,223,243
-1 -15,223,243

Let's try dividing by 4:

15,223,243 ÷ 4 = 3,805,810.75

If the quotient is a whole number, then 4 and 3,805,810.75 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 15,223,243
-1 15,223,243
Keep dividing by the next highest number until you cannot divide anymore.

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

1737532593711,1091,9617,76313,72741,03358,777287,231411,4392,174,74915,223,243
-1-7-37-53-259-371-1,109-1,961-7,763-13,727-41,033-58,777-287,231-411,439-2,174,749-15,223,243

More Examples

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