Q: What are the factor combinations of the number 36,353,837?

 A:
Positive:   1 x 3635383713 x 279644917 x 2138461221 x 164497271 x 134147607 x 598913523 x 103194607 x 7891
Negative: -1 x -36353837-13 x -2796449-17 x -2138461-221 x -164497-271 x -134147-607 x -59891-3523 x -10319-4607 x -7891


How do I find the factor combinations of the number 36,353,837?

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 36,353,837, 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 36,353,837
-1 -36,353,837

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 36,353,837.

Example:
1 x 36,353,837 = 36,353,837
and
-1 x -36,353,837 = 36,353,837
Notice both answers equal 36,353,837

With that explanation out of the way, let's continue. Next, we take the number 36,353,837 and divide it by 2:

36,353,837 ÷ 2 = 18,176,918.5

If the quotient is a whole number, then 2 and 18,176,918.5 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 36,353,837
-1 -36,353,837

Now, we try dividing 36,353,837 by 3:

36,353,837 ÷ 3 = 12,117,945.6667

If the quotient is a whole number, then 3 and 12,117,945.6667 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 36,353,837
-1 -36,353,837

Let's try dividing by 4:

36,353,837 ÷ 4 = 9,088,459.25

If the quotient is a whole number, then 4 and 9,088,459.25 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 36,353,837
-1 36,353,837
Keep dividing by the next highest number until you cannot divide anymore.

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

113172212716073,5234,6077,89110,31959,891134,147164,4972,138,4612,796,44936,353,837
-1-13-17-221-271-607-3,523-4,607-7,891-10,319-59,891-134,147-164,497-2,138,461-2,796,449-36,353,837

More Examples

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