Q: What are the factor combinations of the number 40,332,305?

 A:
Positive:   1 x 403323055 x 806646113 x 310248565 x 620497719 x 56095863 x 467353595 x 112194315 x 9347
Negative: -1 x -40332305-5 x -8066461-13 x -3102485-65 x -620497-719 x -56095-863 x -46735-3595 x -11219-4315 x -9347


How do I find the factor combinations of the number 40,332,305?

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 40,332,305, 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 40,332,305
-1 -40,332,305

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 40,332,305.

Example:
1 x 40,332,305 = 40,332,305
and
-1 x -40,332,305 = 40,332,305
Notice both answers equal 40,332,305

With that explanation out of the way, let's continue. Next, we take the number 40,332,305 and divide it by 2:

40,332,305 ÷ 2 = 20,166,152.5

If the quotient is a whole number, then 2 and 20,166,152.5 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 40,332,305
-1 -40,332,305

Now, we try dividing 40,332,305 by 3:

40,332,305 ÷ 3 = 13,444,101.6667

If the quotient is a whole number, then 3 and 13,444,101.6667 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 40,332,305
-1 -40,332,305

Let's try dividing by 4:

40,332,305 ÷ 4 = 10,083,076.25

If the quotient is a whole number, then 4 and 10,083,076.25 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 40,332,305
-1 40,332,305
Keep dividing by the next highest number until you cannot divide anymore.

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

1513657198633,5954,3159,34711,21946,73556,095620,4973,102,4858,066,46140,332,305
-1-5-13-65-719-863-3,595-4,315-9,347-11,219-46,735-56,095-620,497-3,102,485-8,066,461-40,332,305

More Examples

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