Q: What are the factor combinations of the number 36,882,635?

 A:
Positive:   1 x 368826355 x 737652729 x 1271815113 x 326395145 x 254363565 x 652792251 x 163853277 x 11255
Negative: -1 x -36882635-5 x -7376527-29 x -1271815-113 x -326395-145 x -254363-565 x -65279-2251 x -16385-3277 x -11255


How do I find the factor combinations of the number 36,882,635?

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 36,882,635, 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 36,882,635
-1 -36,882,635

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 36,882,635.

Example:
1 x 36,882,635 = 36,882,635
and
-1 x -36,882,635 = 36,882,635
Notice both answers equal 36,882,635

With that explanation out of the way, let's continue. Next, we take the number 36,882,635 and divide it by 2:

36,882,635 ÷ 2 = 18,441,317.5

If the quotient is a whole number, then 2 and 18,441,317.5 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 36,882,635
-1 -36,882,635

Now, we try dividing 36,882,635 by 3:

36,882,635 ÷ 3 = 12,294,211.6667

If the quotient is a whole number, then 3 and 12,294,211.6667 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 36,882,635
-1 -36,882,635

Let's try dividing by 4:

36,882,635 ÷ 4 = 9,220,658.75

If the quotient is a whole number, then 4 and 9,220,658.75 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 36,882,635
-1 36,882,635
Keep dividing by the next highest number until you cannot divide anymore.

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

15291131455652,2513,27711,25516,38565,279254,363326,3951,271,8157,376,52736,882,635
-1-5-29-113-145-565-2,251-3,277-11,255-16,385-65,279-254,363-326,395-1,271,815-7,376,527-36,882,635

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