Q: What are the factor combinations of the number 7,449,247?

 A:
Positive:   1 x 744924713 x 57301917 x 43819137 x 201331221 x 33707481 x 15487629 x 11843911 x 8177
Negative: -1 x -7449247-13 x -573019-17 x -438191-37 x -201331-221 x -33707-481 x -15487-629 x -11843-911 x -8177


How do I find the factor combinations of the number 7,449,247?

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 7,449,247, 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 7,449,247
-1 -7,449,247

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 7,449,247.

Example:
1 x 7,449,247 = 7,449,247
and
-1 x -7,449,247 = 7,449,247
Notice both answers equal 7,449,247

With that explanation out of the way, let's continue. Next, we take the number 7,449,247 and divide it by 2:

7,449,247 ÷ 2 = 3,724,623.5

If the quotient is a whole number, then 2 and 3,724,623.5 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 7,449,247
-1 -7,449,247

Now, we try dividing 7,449,247 by 3:

7,449,247 ÷ 3 = 2,483,082.3333

If the quotient is a whole number, then 3 and 2,483,082.3333 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 7,449,247
-1 -7,449,247

Let's try dividing by 4:

7,449,247 ÷ 4 = 1,862,311.75

If the quotient is a whole number, then 4 and 1,862,311.75 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 7,449,247
-1 7,449,247
Keep dividing by the next highest number until you cannot divide anymore.

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

11317372214816299118,17711,84315,48733,707201,331438,191573,0197,449,247
-1-13-17-37-221-481-629-911-8,177-11,843-15,487-33,707-201,331-438,191-573,019-7,449,247

More Examples

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