Q: What are the factor combinations of the number 47,748,215?

 A:
Positive:   1 x 477482155 x 954964331 x 1540265107 x 446245155 x 308053535 x 892492879 x 165853317 x 14395
Negative: -1 x -47748215-5 x -9549643-31 x -1540265-107 x -446245-155 x -308053-535 x -89249-2879 x -16585-3317 x -14395


How do I find the factor combinations of the number 47,748,215?

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 47,748,215, 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 47,748,215
-1 -47,748,215

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 47,748,215.

Example:
1 x 47,748,215 = 47,748,215
and
-1 x -47,748,215 = 47,748,215
Notice both answers equal 47,748,215

With that explanation out of the way, let's continue. Next, we take the number 47,748,215 and divide it by 2:

47,748,215 ÷ 2 = 23,874,107.5

If the quotient is a whole number, then 2 and 23,874,107.5 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 47,748,215
-1 -47,748,215

Now, we try dividing 47,748,215 by 3:

47,748,215 ÷ 3 = 15,916,071.6667

If the quotient is a whole number, then 3 and 15,916,071.6667 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 47,748,215
-1 -47,748,215

Let's try dividing by 4:

47,748,215 ÷ 4 = 11,937,053.75

If the quotient is a whole number, then 4 and 11,937,053.75 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 47,748,215
-1 47,748,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15311071555352,8793,31714,39516,58589,249308,053446,2451,540,2659,549,64347,748,215
-1-5-31-107-155-535-2,879-3,317-14,395-16,585-89,249-308,053-446,245-1,540,265-9,549,643-47,748,215

More Examples

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