Q: What are the factor combinations of the number 40,036,535?

 A:
Positive:   1 x 400365355 x 80073077 x 571950511 x 363968535 x 114390155 x 72793777 x 519955385 x 103991
Negative: -1 x -40036535-5 x -8007307-7 x -5719505-11 x -3639685-35 x -1143901-55 x -727937-77 x -519955-385 x -103991


How do I find the factor combinations of the number 40,036,535?

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 40,036,535, 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 40,036,535
-1 -40,036,535

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 40,036,535.

Example:
1 x 40,036,535 = 40,036,535
and
-1 x -40,036,535 = 40,036,535
Notice both answers equal 40,036,535

With that explanation out of the way, let's continue. Next, we take the number 40,036,535 and divide it by 2:

40,036,535 ÷ 2 = 20,018,267.5

If the quotient is a whole number, then 2 and 20,018,267.5 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 40,036,535
-1 -40,036,535

Now, we try dividing 40,036,535 by 3:

40,036,535 ÷ 3 = 13,345,511.6667

If the quotient is a whole number, then 3 and 13,345,511.6667 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 40,036,535
-1 -40,036,535

Let's try dividing by 4:

40,036,535 ÷ 4 = 10,009,133.75

If the quotient is a whole number, then 4 and 10,009,133.75 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 40,036,535
-1 40,036,535
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385103,991519,955727,9371,143,9013,639,6855,719,5058,007,30740,036,535
-1-5-7-11-35-55-77-385-103,991-519,955-727,937-1,143,901-3,639,685-5,719,505-8,007,307-40,036,535

More Examples

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