Q: What are the factor combinations of the number 47,813,143?

 A:
Positive:   1 x 478131437 x 683044967 x 71362997 x 492919469 x 101947679 x 704171051 x 454936499 x 7357
Negative: -1 x -47813143-7 x -6830449-67 x -713629-97 x -492919-469 x -101947-679 x -70417-1051 x -45493-6499 x -7357


How do I find the factor combinations of the number 47,813,143?

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 47,813,143, 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 47,813,143
-1 -47,813,143

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 47,813,143.

Example:
1 x 47,813,143 = 47,813,143
and
-1 x -47,813,143 = 47,813,143
Notice both answers equal 47,813,143

With that explanation out of the way, let's continue. Next, we take the number 47,813,143 and divide it by 2:

47,813,143 ÷ 2 = 23,906,571.5

If the quotient is a whole number, then 2 and 23,906,571.5 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 47,813,143
-1 -47,813,143

Now, we try dividing 47,813,143 by 3:

47,813,143 ÷ 3 = 15,937,714.3333

If the quotient is a whole number, then 3 and 15,937,714.3333 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 47,813,143
-1 -47,813,143

Let's try dividing by 4:

47,813,143 ÷ 4 = 11,953,285.75

If the quotient is a whole number, then 4 and 11,953,285.75 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 47,813,143
-1 47,813,143
Keep dividing by the next highest number until you cannot divide anymore.

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

1767974696791,0516,4997,35745,49370,417101,947492,919713,6296,830,44947,813,143
-1-7-67-97-469-679-1,051-6,499-7,357-45,493-70,417-101,947-492,919-713,629-6,830,449-47,813,143

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 47,813,143:


Ask a Question