Q: What are the factor combinations of the number 15,240,551?

 A:
Positive:   1 x 1524055117 x 896503853 x 178671051 x 14501
Negative: -1 x -15240551-17 x -896503-853 x -17867-1051 x -14501


How do I find the factor combinations of the number 15,240,551?

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 15,240,551, 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 15,240,551
-1 -15,240,551

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 15,240,551.

Example:
1 x 15,240,551 = 15,240,551
and
-1 x -15,240,551 = 15,240,551
Notice both answers equal 15,240,551

With that explanation out of the way, let's continue. Next, we take the number 15,240,551 and divide it by 2:

15,240,551 ÷ 2 = 7,620,275.5

If the quotient is a whole number, then 2 and 7,620,275.5 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 15,240,551
-1 -15,240,551

Now, we try dividing 15,240,551 by 3:

15,240,551 ÷ 3 = 5,080,183.6667

If the quotient is a whole number, then 3 and 5,080,183.6667 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 15,240,551
-1 -15,240,551

Let's try dividing by 4:

15,240,551 ÷ 4 = 3,810,137.75

If the quotient is a whole number, then 4 and 3,810,137.75 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 15,240,551
-1 15,240,551
Keep dividing by the next highest number until you cannot divide anymore.

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

1178531,05114,50117,867896,50315,240,551
-1-17-853-1,051-14,501-17,867-896,503-15,240,551

More Examples

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