Q: What are the factor combinations of the number 15,245,243?

 A:
Positive:   1 x 1524524313 x 117271117 x 896779101 x 150943221 x 68983683 x 223211313 x 116111717 x 8879
Negative: -1 x -15245243-13 x -1172711-17 x -896779-101 x -150943-221 x -68983-683 x -22321-1313 x -11611-1717 x -8879


How do I find the factor combinations of the number 15,245,243?

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 15,245,243, 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 15,245,243
-1 -15,245,243

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 15,245,243.

Example:
1 x 15,245,243 = 15,245,243
and
-1 x -15,245,243 = 15,245,243
Notice both answers equal 15,245,243

With that explanation out of the way, let's continue. Next, we take the number 15,245,243 and divide it by 2:

15,245,243 ÷ 2 = 7,622,621.5

If the quotient is a whole number, then 2 and 7,622,621.5 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 15,245,243
-1 -15,245,243

Now, we try dividing 15,245,243 by 3:

15,245,243 ÷ 3 = 5,081,747.6667

If the quotient is a whole number, then 3 and 5,081,747.6667 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 15,245,243
-1 -15,245,243

Let's try dividing by 4:

15,245,243 ÷ 4 = 3,811,310.75

If the quotient is a whole number, then 4 and 3,811,310.75 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 15,245,243
-1 15,245,243
Keep dividing by the next highest number until you cannot divide anymore.

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

113171012216831,3131,7178,87911,61122,32168,983150,943896,7791,172,71115,245,243
-1-13-17-101-221-683-1,313-1,717-8,879-11,611-22,321-68,983-150,943-896,779-1,172,711-15,245,243

More Examples

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