Q: What are the factor combinations of the number 2,438,485?

 A:
Positive:   1 x 24384855 x 4876977 x 34835535 x 6967137 x 6590549 x 49765185 x 13181245 x 9953259 x 9415269 x 90651295 x 18831345 x 1813
Negative: -1 x -2438485-5 x -487697-7 x -348355-35 x -69671-37 x -65905-49 x -49765-185 x -13181-245 x -9953-259 x -9415-269 x -9065-1295 x -1883-1345 x -1813


How do I find the factor combinations of the number 2,438,485?

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 2,438,485, 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 2,438,485
-1 -2,438,485

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 2,438,485.

Example:
1 x 2,438,485 = 2,438,485
and
-1 x -2,438,485 = 2,438,485
Notice both answers equal 2,438,485

With that explanation out of the way, let's continue. Next, we take the number 2,438,485 and divide it by 2:

2,438,485 ÷ 2 = 1,219,242.5

If the quotient is a whole number, then 2 and 1,219,242.5 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 2,438,485
-1 -2,438,485

Now, we try dividing 2,438,485 by 3:

2,438,485 ÷ 3 = 812,828.3333

If the quotient is a whole number, then 3 and 812,828.3333 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 2,438,485
-1 -2,438,485

Let's try dividing by 4:

2,438,485 ÷ 4 = 609,621.25

If the quotient is a whole number, then 4 and 609,621.25 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 2,438,485
-1 2,438,485
Keep dividing by the next highest number until you cannot divide anymore.

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

1573537491852452592691,2951,3451,8131,8839,0659,4159,95313,18149,76565,90569,671348,355487,6972,438,485
-1-5-7-35-37-49-185-245-259-269-1,295-1,345-1,813-1,883-9,065-9,415-9,953-13,181-49,765-65,905-69,671-348,355-487,697-2,438,485

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