Q: What are the factor combinations of the number 48,046,831?

 A:
Positive:   1 x 480468317 x 686383337 x 129856347 x 1022273259 x 185509329 x 1460391739 x 276293947 x 12173
Negative: -1 x -48046831-7 x -6863833-37 x -1298563-47 x -1022273-259 x -185509-329 x -146039-1739 x -27629-3947 x -12173


How do I find the factor combinations of the number 48,046,831?

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 48,046,831, 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 48,046,831
-1 -48,046,831

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 48,046,831.

Example:
1 x 48,046,831 = 48,046,831
and
-1 x -48,046,831 = 48,046,831
Notice both answers equal 48,046,831

With that explanation out of the way, let's continue. Next, we take the number 48,046,831 and divide it by 2:

48,046,831 ÷ 2 = 24,023,415.5

If the quotient is a whole number, then 2 and 24,023,415.5 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 48,046,831
-1 -48,046,831

Now, we try dividing 48,046,831 by 3:

48,046,831 ÷ 3 = 16,015,610.3333

If the quotient is a whole number, then 3 and 16,015,610.3333 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 48,046,831
-1 -48,046,831

Let's try dividing by 4:

48,046,831 ÷ 4 = 12,011,707.75

If the quotient is a whole number, then 4 and 12,011,707.75 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 48,046,831
-1 48,046,831
Keep dividing by the next highest number until you cannot divide anymore.

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

1737472593291,7393,94712,17327,629146,039185,5091,022,2731,298,5636,863,83348,046,831
-1-7-37-47-259-329-1,739-3,947-12,173-27,629-146,039-185,509-1,022,273-1,298,563-6,863,833-48,046,831

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 48,046,831:


Ask a Question