Q: What are the factor combinations of the number 40,237,537?

 A:
Positive:   1 x 4023753737 x 1087501127 x 3168314699 x 8563
Negative: -1 x -40237537-37 x -1087501-127 x -316831-4699 x -8563


How do I find the factor combinations of the number 40,237,537?

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 40,237,537, 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 40,237,537
-1 -40,237,537

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 40,237,537.

Example:
1 x 40,237,537 = 40,237,537
and
-1 x -40,237,537 = 40,237,537
Notice both answers equal 40,237,537

With that explanation out of the way, let's continue. Next, we take the number 40,237,537 and divide it by 2:

40,237,537 ÷ 2 = 20,118,768.5

If the quotient is a whole number, then 2 and 20,118,768.5 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 40,237,537
-1 -40,237,537

Now, we try dividing 40,237,537 by 3:

40,237,537 ÷ 3 = 13,412,512.3333

If the quotient is a whole number, then 3 and 13,412,512.3333 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 40,237,537
-1 -40,237,537

Let's try dividing by 4:

40,237,537 ÷ 4 = 10,059,384.25

If the quotient is a whole number, then 4 and 10,059,384.25 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 40,237,537
-1 40,237,537
Keep dividing by the next highest number until you cannot divide anymore.

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

1371274,6998,563316,8311,087,50140,237,537
-1-37-127-4,699-8,563-316,831-1,087,501-40,237,537

More Examples

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