Q: What are the factor combinations of the number 38,048,329?

 A:
Positive:   1 x 3804832911 x 345893917 x 223813753 x 717893121 x 314449187 x 203467349 x 109021583 x 65263901 x 422292057 x 184973839 x 99115933 x 6413
Negative: -1 x -38048329-11 x -3458939-17 x -2238137-53 x -717893-121 x -314449-187 x -203467-349 x -109021-583 x -65263-901 x -42229-2057 x -18497-3839 x -9911-5933 x -6413


How do I find the factor combinations of the number 38,048,329?

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 38,048,329, 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 38,048,329
-1 -38,048,329

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 38,048,329.

Example:
1 x 38,048,329 = 38,048,329
and
-1 x -38,048,329 = 38,048,329
Notice both answers equal 38,048,329

With that explanation out of the way, let's continue. Next, we take the number 38,048,329 and divide it by 2:

38,048,329 ÷ 2 = 19,024,164.5

If the quotient is a whole number, then 2 and 19,024,164.5 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 38,048,329
-1 -38,048,329

Now, we try dividing 38,048,329 by 3:

38,048,329 ÷ 3 = 12,682,776.3333

If the quotient is a whole number, then 3 and 12,682,776.3333 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 38,048,329
-1 -38,048,329

Let's try dividing by 4:

38,048,329 ÷ 4 = 9,512,082.25

If the quotient is a whole number, then 4 and 9,512,082.25 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 38,048,329
-1 38,048,329
Keep dividing by the next highest number until you cannot divide anymore.

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

11117531211873495839012,0573,8395,9336,4139,91118,49742,22965,263109,021203,467314,449717,8932,238,1373,458,93938,048,329
-1-11-17-53-121-187-349-583-901-2,057-3,839-5,933-6,413-9,911-18,497-42,229-65,263-109,021-203,467-314,449-717,893-2,238,137-3,458,939-38,048,329

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