Q: What are the factor combinations of the number 7,483,247?

 A:
Positive:   1 x 748324717 x 44019129 x 25804343 x 174029353 x 21199493 x 15179731 x 102371247 x 6001
Negative: -1 x -7483247-17 x -440191-29 x -258043-43 x -174029-353 x -21199-493 x -15179-731 x -10237-1247 x -6001


How do I find the factor combinations of the number 7,483,247?

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 7,483,247, 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 7,483,247
-1 -7,483,247

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 7,483,247.

Example:
1 x 7,483,247 = 7,483,247
and
-1 x -7,483,247 = 7,483,247
Notice both answers equal 7,483,247

With that explanation out of the way, let's continue. Next, we take the number 7,483,247 and divide it by 2:

7,483,247 ÷ 2 = 3,741,623.5

If the quotient is a whole number, then 2 and 3,741,623.5 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 7,483,247
-1 -7,483,247

Now, we try dividing 7,483,247 by 3:

7,483,247 ÷ 3 = 2,494,415.6667

If the quotient is a whole number, then 3 and 2,494,415.6667 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 7,483,247
-1 -7,483,247

Let's try dividing by 4:

7,483,247 ÷ 4 = 1,870,811.75

If the quotient is a whole number, then 4 and 1,870,811.75 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 7,483,247
-1 7,483,247
Keep dividing by the next highest number until you cannot divide anymore.

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

11729433534937311,2476,00110,23715,17921,199174,029258,043440,1917,483,247
-1-17-29-43-353-493-731-1,247-6,001-10,237-15,179-21,199-174,029-258,043-440,191-7,483,247

More Examples

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