Q: What are the factor combinations of the number 4,424,329?

 A:
Positive:   1 x 44243297 x 63204713 x 34033391 x 48619
Negative: -1 x -4424329-7 x -632047-13 x -340333-91 x -48619


How do I find the factor combinations of the number 4,424,329?

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 4,424,329, 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 4,424,329
-1 -4,424,329

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 4,424,329.

Example:
1 x 4,424,329 = 4,424,329
and
-1 x -4,424,329 = 4,424,329
Notice both answers equal 4,424,329

With that explanation out of the way, let's continue. Next, we take the number 4,424,329 and divide it by 2:

4,424,329 ÷ 2 = 2,212,164.5

If the quotient is a whole number, then 2 and 2,212,164.5 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 4,424,329
-1 -4,424,329

Now, we try dividing 4,424,329 by 3:

4,424,329 ÷ 3 = 1,474,776.3333

If the quotient is a whole number, then 3 and 1,474,776.3333 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 4,424,329
-1 -4,424,329

Let's try dividing by 4:

4,424,329 ÷ 4 = 1,106,082.25

If the quotient is a whole number, then 4 and 1,106,082.25 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 4,424,329
-1 4,424,329
Keep dividing by the next highest number until you cannot divide anymore.

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

17139148,619340,333632,0474,424,329
-1-7-13-91-48,619-340,333-632,047-4,424,329

More Examples

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