Q: What are the factor combinations of the number 47,623,613?

 A:
Positive:   1 x 4762361317 x 2801389173 x 2752812941 x 16193
Negative: -1 x -47623613-17 x -2801389-173 x -275281-2941 x -16193


How do I find the factor combinations of the number 47,623,613?

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 47,623,613, 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 47,623,613
-1 -47,623,613

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 47,623,613.

Example:
1 x 47,623,613 = 47,623,613
and
-1 x -47,623,613 = 47,623,613
Notice both answers equal 47,623,613

With that explanation out of the way, let's continue. Next, we take the number 47,623,613 and divide it by 2:

47,623,613 ÷ 2 = 23,811,806.5

If the quotient is a whole number, then 2 and 23,811,806.5 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 47,623,613
-1 -47,623,613

Now, we try dividing 47,623,613 by 3:

47,623,613 ÷ 3 = 15,874,537.6667

If the quotient is a whole number, then 3 and 15,874,537.6667 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 47,623,613
-1 -47,623,613

Let's try dividing by 4:

47,623,613 ÷ 4 = 11,905,903.25

If the quotient is a whole number, then 4 and 11,905,903.25 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 47,623,613
-1 47,623,613
Keep dividing by the next highest number until you cannot divide anymore.

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

1171732,94116,193275,2812,801,38947,623,613
-1-17-173-2,941-16,193-275,281-2,801,389-47,623,613

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 47,623,613:


Ask a Question