Q: What are the factor combinations of the number 40,741,961?

 A:
Positive:   1 x 4074196113 x 313399761 x 66790183 x 490867619 x 65819793 x 513771079 x 377595063 x 8047
Negative: -1 x -40741961-13 x -3133997-61 x -667901-83 x -490867-619 x -65819-793 x -51377-1079 x -37759-5063 x -8047


How do I find the factor combinations of the number 40,741,961?

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 40,741,961, 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 40,741,961
-1 -40,741,961

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 40,741,961.

Example:
1 x 40,741,961 = 40,741,961
and
-1 x -40,741,961 = 40,741,961
Notice both answers equal 40,741,961

With that explanation out of the way, let's continue. Next, we take the number 40,741,961 and divide it by 2:

40,741,961 ÷ 2 = 20,370,980.5

If the quotient is a whole number, then 2 and 20,370,980.5 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 40,741,961
-1 -40,741,961

Now, we try dividing 40,741,961 by 3:

40,741,961 ÷ 3 = 13,580,653.6667

If the quotient is a whole number, then 3 and 13,580,653.6667 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 40,741,961
-1 -40,741,961

Let's try dividing by 4:

40,741,961 ÷ 4 = 10,185,490.25

If the quotient is a whole number, then 4 and 10,185,490.25 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 40,741,961
-1 40,741,961
Keep dividing by the next highest number until you cannot divide anymore.

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

11361836197931,0795,0638,04737,75951,37765,819490,867667,9013,133,99740,741,961
-1-13-61-83-619-793-1,079-5,063-8,047-37,759-51,377-65,819-490,867-667,901-3,133,997-40,741,961

More Examples

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