Q: What are the factor combinations of the number 36,353,365?

 A:
Positive:   1 x 363533655 x 727067319 x 191333595 x 382667139 x 261535695 x 523072641 x 137652753 x 13205
Negative: -1 x -36353365-5 x -7270673-19 x -1913335-95 x -382667-139 x -261535-695 x -52307-2641 x -13765-2753 x -13205


How do I find the factor combinations of the number 36,353,365?

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 36,353,365, 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 36,353,365
-1 -36,353,365

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 36,353,365.

Example:
1 x 36,353,365 = 36,353,365
and
-1 x -36,353,365 = 36,353,365
Notice both answers equal 36,353,365

With that explanation out of the way, let's continue. Next, we take the number 36,353,365 and divide it by 2:

36,353,365 ÷ 2 = 18,176,682.5

If the quotient is a whole number, then 2 and 18,176,682.5 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 36,353,365
-1 -36,353,365

Now, we try dividing 36,353,365 by 3:

36,353,365 ÷ 3 = 12,117,788.3333

If the quotient is a whole number, then 3 and 12,117,788.3333 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 36,353,365
-1 -36,353,365

Let's try dividing by 4:

36,353,365 ÷ 4 = 9,088,341.25

If the quotient is a whole number, then 4 and 9,088,341.25 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 36,353,365
-1 36,353,365
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951396952,6412,75313,20513,76552,307261,535382,6671,913,3357,270,67336,353,365
-1-5-19-95-139-695-2,641-2,753-13,205-13,765-52,307-261,535-382,667-1,913,335-7,270,673-36,353,365

More Examples

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