Q: What are the factor combinations of the number 36,760,735?

 A:
Positive:   1 x 367607355 x 735214711 x 334188555 x 66837761 x 602635305 x 120527671 x 547853355 x 10957
Negative: -1 x -36760735-5 x -7352147-11 x -3341885-55 x -668377-61 x -602635-305 x -120527-671 x -54785-3355 x -10957


How do I find the factor combinations of the number 36,760,735?

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 36,760,735, 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 36,760,735
-1 -36,760,735

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 36,760,735.

Example:
1 x 36,760,735 = 36,760,735
and
-1 x -36,760,735 = 36,760,735
Notice both answers equal 36,760,735

With that explanation out of the way, let's continue. Next, we take the number 36,760,735 and divide it by 2:

36,760,735 ÷ 2 = 18,380,367.5

If the quotient is a whole number, then 2 and 18,380,367.5 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 36,760,735
-1 -36,760,735

Now, we try dividing 36,760,735 by 3:

36,760,735 ÷ 3 = 12,253,578.3333

If the quotient is a whole number, then 3 and 12,253,578.3333 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 36,760,735
-1 -36,760,735

Let's try dividing by 4:

36,760,735 ÷ 4 = 9,190,183.75

If the quotient is a whole number, then 4 and 9,190,183.75 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 36,760,735
-1 36,760,735
Keep dividing by the next highest number until you cannot divide anymore.

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

151155613056713,35510,95754,785120,527602,635668,3773,341,8857,352,14736,760,735
-1-5-11-55-61-305-671-3,355-10,957-54,785-120,527-602,635-668,377-3,341,885-7,352,147-36,760,735

More Examples

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