Q: What are the factor combinations of the number 4,947,371?

 A:
Positive:   1 x 494737111 x 44976113 x 38056729 x 170599143 x 34597319 x 15509377 x 131231193 x 4147
Negative: -1 x -4947371-11 x -449761-13 x -380567-29 x -170599-143 x -34597-319 x -15509-377 x -13123-1193 x -4147


How do I find the factor combinations of the number 4,947,371?

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 4,947,371, 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 4,947,371
-1 -4,947,371

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 4,947,371.

Example:
1 x 4,947,371 = 4,947,371
and
-1 x -4,947,371 = 4,947,371
Notice both answers equal 4,947,371

With that explanation out of the way, let's continue. Next, we take the number 4,947,371 and divide it by 2:

4,947,371 ÷ 2 = 2,473,685.5

If the quotient is a whole number, then 2 and 2,473,685.5 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 4,947,371
-1 -4,947,371

Now, we try dividing 4,947,371 by 3:

4,947,371 ÷ 3 = 1,649,123.6667

If the quotient is a whole number, then 3 and 1,649,123.6667 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 4,947,371
-1 -4,947,371

Let's try dividing by 4:

4,947,371 ÷ 4 = 1,236,842.75

If the quotient is a whole number, then 4 and 1,236,842.75 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 4,947,371
-1 4,947,371
Keep dividing by the next highest number until you cannot divide anymore.

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

11113291433193771,1934,14713,12315,50934,597170,599380,567449,7614,947,371
-1-11-13-29-143-319-377-1,193-4,147-13,123-15,509-34,597-170,599-380,567-449,761-4,947,371

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 4,947,371:


Ask a Question