Q: What are the factor combinations of the number 3,443,635?

 A:
Positive:   1 x 34436355 x 68872713 x 26489531 x 11108565 x 52979155 x 22217403 x 85451709 x 2015
Negative: -1 x -3443635-5 x -688727-13 x -264895-31 x -111085-65 x -52979-155 x -22217-403 x -8545-1709 x -2015


How do I find the factor combinations of the number 3,443,635?

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 3,443,635, 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 3,443,635
-1 -3,443,635

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 3,443,635.

Example:
1 x 3,443,635 = 3,443,635
and
-1 x -3,443,635 = 3,443,635
Notice both answers equal 3,443,635

With that explanation out of the way, let's continue. Next, we take the number 3,443,635 and divide it by 2:

3,443,635 ÷ 2 = 1,721,817.5

If the quotient is a whole number, then 2 and 1,721,817.5 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 3,443,635
-1 -3,443,635

Now, we try dividing 3,443,635 by 3:

3,443,635 ÷ 3 = 1,147,878.3333

If the quotient is a whole number, then 3 and 1,147,878.3333 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 3,443,635
-1 -3,443,635

Let's try dividing by 4:

3,443,635 ÷ 4 = 860,908.75

If the quotient is a whole number, then 4 and 860,908.75 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 3,443,635
-1 3,443,635
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651554031,7092,0158,54522,21752,979111,085264,895688,7273,443,635
-1-5-13-31-65-155-403-1,709-2,015-8,545-22,217-52,979-111,085-264,895-688,727-3,443,635

More Examples

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