Q: What are the factor combinations of the number 40,002,037?

 A:
Positive:   1 x 4000203717 x 235306123 x 1739219263 x 152099389 x 102833391 x 1023074471 x 89476049 x 6613
Negative: -1 x -40002037-17 x -2353061-23 x -1739219-263 x -152099-389 x -102833-391 x -102307-4471 x -8947-6049 x -6613


How do I find the factor combinations of the number 40,002,037?

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 40,002,037, 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 40,002,037
-1 -40,002,037

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 40,002,037.

Example:
1 x 40,002,037 = 40,002,037
and
-1 x -40,002,037 = 40,002,037
Notice both answers equal 40,002,037

With that explanation out of the way, let's continue. Next, we take the number 40,002,037 and divide it by 2:

40,002,037 ÷ 2 = 20,001,018.5

If the quotient is a whole number, then 2 and 20,001,018.5 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 40,002,037
-1 -40,002,037

Now, we try dividing 40,002,037 by 3:

40,002,037 ÷ 3 = 13,334,012.3333

If the quotient is a whole number, then 3 and 13,334,012.3333 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 40,002,037
-1 -40,002,037

Let's try dividing by 4:

40,002,037 ÷ 4 = 10,000,509.25

If the quotient is a whole number, then 4 and 10,000,509.25 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 40,002,037
-1 40,002,037
Keep dividing by the next highest number until you cannot divide anymore.

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

117232633893914,4716,0496,6138,947102,307102,833152,0991,739,2192,353,06140,002,037
-1-17-23-263-389-391-4,471-6,049-6,613-8,947-102,307-102,833-152,099-1,739,219-2,353,061-40,002,037

More Examples

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