Q: What are the factor combinations of the number 5,524,337?

 A:
Positive:   1 x 55243377 x 78919113 x 42494917 x 32496191 x 60707119 x 46423221 x 249971547 x 3571
Negative: -1 x -5524337-7 x -789191-13 x -424949-17 x -324961-91 x -60707-119 x -46423-221 x -24997-1547 x -3571


How do I find the factor combinations of the number 5,524,337?

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 5,524,337, 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 5,524,337
-1 -5,524,337

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 5,524,337.

Example:
1 x 5,524,337 = 5,524,337
and
-1 x -5,524,337 = 5,524,337
Notice both answers equal 5,524,337

With that explanation out of the way, let's continue. Next, we take the number 5,524,337 and divide it by 2:

5,524,337 ÷ 2 = 2,762,168.5

If the quotient is a whole number, then 2 and 2,762,168.5 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 5,524,337
-1 -5,524,337

Now, we try dividing 5,524,337 by 3:

5,524,337 ÷ 3 = 1,841,445.6667

If the quotient is a whole number, then 3 and 1,841,445.6667 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 5,524,337
-1 -5,524,337

Let's try dividing by 4:

5,524,337 ÷ 4 = 1,381,084.25

If the quotient is a whole number, then 4 and 1,381,084.25 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 5,524,337
-1 5,524,337
Keep dividing by the next highest number until you cannot divide anymore.

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

171317911192211,5473,57124,99746,42360,707324,961424,949789,1915,524,337
-1-7-13-17-91-119-221-1,547-3,571-24,997-46,423-60,707-324,961-424,949-789,191-5,524,337

More Examples

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