Q: What are the factor combinations of the number 45,816,835?

 A:
Positive:   1 x 458168355 x 9163367337 x 1359551685 x 27191
Negative: -1 x -45816835-5 x -9163367-337 x -135955-1685 x -27191


How do I find the factor combinations of the number 45,816,835?

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 45,816,835, 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 45,816,835
-1 -45,816,835

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 45,816,835.

Example:
1 x 45,816,835 = 45,816,835
and
-1 x -45,816,835 = 45,816,835
Notice both answers equal 45,816,835

With that explanation out of the way, let's continue. Next, we take the number 45,816,835 and divide it by 2:

45,816,835 ÷ 2 = 22,908,417.5

If the quotient is a whole number, then 2 and 22,908,417.5 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 45,816,835
-1 -45,816,835

Now, we try dividing 45,816,835 by 3:

45,816,835 ÷ 3 = 15,272,278.3333

If the quotient is a whole number, then 3 and 15,272,278.3333 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 45,816,835
-1 -45,816,835

Let's try dividing by 4:

45,816,835 ÷ 4 = 11,454,208.75

If the quotient is a whole number, then 4 and 11,454,208.75 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 45,816,835
-1 45,816,835
Keep dividing by the next highest number until you cannot divide anymore.

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

153371,68527,191135,9559,163,36745,816,835
-1-5-337-1,685-27,191-135,955-9,163,367-45,816,835

More Examples

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