Q: What are the factor combinations of the number 36,337,631?

 A:
Positive:   1 x 3633763111 x 330342123 x 1579897121 x 300311253 x 1436271187 x 306131331 x 273012783 x 13057
Negative: -1 x -36337631-11 x -3303421-23 x -1579897-121 x -300311-253 x -143627-1187 x -30613-1331 x -27301-2783 x -13057


How do I find the factor combinations of the number 36,337,631?

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 36,337,631, 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 36,337,631
-1 -36,337,631

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 36,337,631.

Example:
1 x 36,337,631 = 36,337,631
and
-1 x -36,337,631 = 36,337,631
Notice both answers equal 36,337,631

With that explanation out of the way, let's continue. Next, we take the number 36,337,631 and divide it by 2:

36,337,631 ÷ 2 = 18,168,815.5

If the quotient is a whole number, then 2 and 18,168,815.5 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 36,337,631
-1 -36,337,631

Now, we try dividing 36,337,631 by 3:

36,337,631 ÷ 3 = 12,112,543.6667

If the quotient is a whole number, then 3 and 12,112,543.6667 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 36,337,631
-1 -36,337,631

Let's try dividing by 4:

36,337,631 ÷ 4 = 9,084,407.75

If the quotient is a whole number, then 4 and 9,084,407.75 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 36,337,631
-1 36,337,631
Keep dividing by the next highest number until you cannot divide anymore.

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

111231212531,1871,3312,78313,05727,30130,613143,627300,3111,579,8973,303,42136,337,631
-1-11-23-121-253-1,187-1,331-2,783-13,057-27,301-30,613-143,627-300,311-1,579,897-3,303,421-36,337,631

More Examples

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