Q: What are the factor combinations of the number 47,355,847?

 A:
Positive:   1 x 473558477 x 676512111 x 430507719 x 249241377 x 615011133 x 356059209 x 2265831463 x 32369
Negative: -1 x -47355847-7 x -6765121-11 x -4305077-19 x -2492413-77 x -615011-133 x -356059-209 x -226583-1463 x -32369


How do I find the factor combinations of the number 47,355,847?

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 47,355,847, 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 47,355,847
-1 -47,355,847

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 47,355,847.

Example:
1 x 47,355,847 = 47,355,847
and
-1 x -47,355,847 = 47,355,847
Notice both answers equal 47,355,847

With that explanation out of the way, let's continue. Next, we take the number 47,355,847 and divide it by 2:

47,355,847 ÷ 2 = 23,677,923.5

If the quotient is a whole number, then 2 and 23,677,923.5 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 47,355,847
-1 -47,355,847

Now, we try dividing 47,355,847 by 3:

47,355,847 ÷ 3 = 15,785,282.3333

If the quotient is a whole number, then 3 and 15,785,282.3333 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 47,355,847
-1 -47,355,847

Let's try dividing by 4:

47,355,847 ÷ 4 = 11,838,961.75

If the quotient is a whole number, then 4 and 11,838,961.75 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 47,355,847
-1 47,355,847
Keep dividing by the next highest number until you cannot divide anymore.

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

171119771332091,46332,369226,583356,059615,0112,492,4134,305,0776,765,12147,355,847
-1-7-11-19-77-133-209-1,463-32,369-226,583-356,059-615,011-2,492,413-4,305,077-6,765,121-47,355,847

More Examples

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