Q: What are the factor combinations of the number 3,320,503?

 A:
Positive:   1 x 332050331 x 10711343 x 7722147 x 7064953 x 626511333 x 24911457 x 22791643 x 2021
Negative: -1 x -3320503-31 x -107113-43 x -77221-47 x -70649-53 x -62651-1333 x -2491-1457 x -2279-1643 x -2021


How do I find the factor combinations of the number 3,320,503?

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 3,320,503, 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 3,320,503
-1 -3,320,503

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 3,320,503.

Example:
1 x 3,320,503 = 3,320,503
and
-1 x -3,320,503 = 3,320,503
Notice both answers equal 3,320,503

With that explanation out of the way, let's continue. Next, we take the number 3,320,503 and divide it by 2:

3,320,503 ÷ 2 = 1,660,251.5

If the quotient is a whole number, then 2 and 1,660,251.5 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 3,320,503
-1 -3,320,503

Now, we try dividing 3,320,503 by 3:

3,320,503 ÷ 3 = 1,106,834.3333

If the quotient is a whole number, then 3 and 1,106,834.3333 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 3,320,503
-1 -3,320,503

Let's try dividing by 4:

3,320,503 ÷ 4 = 830,125.75

If the quotient is a whole number, then 4 and 830,125.75 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 3,320,503
-1 3,320,503
Keep dividing by the next highest number until you cannot divide anymore.

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

1314347531,3331,4571,6432,0212,2792,49162,65170,64977,221107,1133,320,503
-1-31-43-47-53-1,333-1,457-1,643-2,021-2,279-2,491-62,651-70,649-77,221-107,113-3,320,503

More Examples

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