Q: What are the factor combinations of the number 47,456,357?

 A:
Positive:   1 x 4745635713 x 365048919 x 2497703229 x 207233247 x 192131839 x 565632977 x 159414351 x 10907
Negative: -1 x -47456357-13 x -3650489-19 x -2497703-229 x -207233-247 x -192131-839 x -56563-2977 x -15941-4351 x -10907


How do I find the factor combinations of the number 47,456,357?

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 47,456,357, 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 47,456,357
-1 -47,456,357

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 47,456,357.

Example:
1 x 47,456,357 = 47,456,357
and
-1 x -47,456,357 = 47,456,357
Notice both answers equal 47,456,357

With that explanation out of the way, let's continue. Next, we take the number 47,456,357 and divide it by 2:

47,456,357 ÷ 2 = 23,728,178.5

If the quotient is a whole number, then 2 and 23,728,178.5 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 47,456,357
-1 -47,456,357

Now, we try dividing 47,456,357 by 3:

47,456,357 ÷ 3 = 15,818,785.6667

If the quotient is a whole number, then 3 and 15,818,785.6667 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 47,456,357
-1 -47,456,357

Let's try dividing by 4:

47,456,357 ÷ 4 = 11,864,089.25

If the quotient is a whole number, then 4 and 11,864,089.25 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 47,456,357
-1 47,456,357
Keep dividing by the next highest number until you cannot divide anymore.

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

113192292478392,9774,35110,90715,94156,563192,131207,2332,497,7033,650,48947,456,357
-1-13-19-229-247-839-2,977-4,351-10,907-15,941-56,563-192,131-207,233-2,497,703-3,650,489-47,456,357

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 47,456,357:


Ask a Question