Q: What are the factor combinations of the number 47,233,145?

 A:
Positive:   1 x 472331455 x 944662919 x 248595523 x 205361595 x 497191115 x 410723437 x 1080852185 x 21617
Negative: -1 x -47233145-5 x -9446629-19 x -2485955-23 x -2053615-95 x -497191-115 x -410723-437 x -108085-2185 x -21617


How do I find the factor combinations of the number 47,233,145?

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 47,233,145, 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 47,233,145
-1 -47,233,145

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 47,233,145.

Example:
1 x 47,233,145 = 47,233,145
and
-1 x -47,233,145 = 47,233,145
Notice both answers equal 47,233,145

With that explanation out of the way, let's continue. Next, we take the number 47,233,145 and divide it by 2:

47,233,145 ÷ 2 = 23,616,572.5

If the quotient is a whole number, then 2 and 23,616,572.5 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 47,233,145
-1 -47,233,145

Now, we try dividing 47,233,145 by 3:

47,233,145 ÷ 3 = 15,744,381.6667

If the quotient is a whole number, then 3 and 15,744,381.6667 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 47,233,145
-1 -47,233,145

Let's try dividing by 4:

47,233,145 ÷ 4 = 11,808,286.25

If the quotient is a whole number, then 4 and 11,808,286.25 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 47,233,145
-1 47,233,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151923951154372,18521,617108,085410,723497,1912,053,6152,485,9559,446,62947,233,145
-1-5-19-23-95-115-437-2,185-21,617-108,085-410,723-497,191-2,053,615-2,485,955-9,446,629-47,233,145

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