Q: What are the factor combinations of the number 40,333,145?

 A:
Positive:   1 x 403331455 x 806662923 x 175361537 x 1090085115 x 350723185 x 218017851 x 473954255 x 9479
Negative: -1 x -40333145-5 x -8066629-23 x -1753615-37 x -1090085-115 x -350723-185 x -218017-851 x -47395-4255 x -9479


How do I find the factor combinations of the number 40,333,145?

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 40,333,145, 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 40,333,145
-1 -40,333,145

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 40,333,145.

Example:
1 x 40,333,145 = 40,333,145
and
-1 x -40,333,145 = 40,333,145
Notice both answers equal 40,333,145

With that explanation out of the way, let's continue. Next, we take the number 40,333,145 and divide it by 2:

40,333,145 ÷ 2 = 20,166,572.5

If the quotient is a whole number, then 2 and 20,166,572.5 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 40,333,145
-1 -40,333,145

Now, we try dividing 40,333,145 by 3:

40,333,145 ÷ 3 = 13,444,381.6667

If the quotient is a whole number, then 3 and 13,444,381.6667 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 40,333,145
-1 -40,333,145

Let's try dividing by 4:

40,333,145 ÷ 4 = 10,083,286.25

If the quotient is a whole number, then 4 and 10,083,286.25 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 40,333,145
-1 40,333,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1523371151858514,2559,47947,395218,017350,7231,090,0851,753,6158,066,62940,333,145
-1-5-23-37-115-185-851-4,255-9,479-47,395-218,017-350,723-1,090,085-1,753,615-8,066,629-40,333,145

More Examples

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