Q: What are the factor combinations of the number 4,947,481?

 A:
Positive:   1 x 49474817 x 70678311 x 44977149 x 10096967 x 7384377 x 64253137 x 36113469 x 10549539 x 9179737 x 6713959 x 51591507 x 3283
Negative: -1 x -4947481-7 x -706783-11 x -449771-49 x -100969-67 x -73843-77 x -64253-137 x -36113-469 x -10549-539 x -9179-737 x -6713-959 x -5159-1507 x -3283


How do I find the factor combinations of the number 4,947,481?

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 4,947,481, 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 4,947,481
-1 -4,947,481

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 4,947,481.

Example:
1 x 4,947,481 = 4,947,481
and
-1 x -4,947,481 = 4,947,481
Notice both answers equal 4,947,481

With that explanation out of the way, let's continue. Next, we take the number 4,947,481 and divide it by 2:

4,947,481 ÷ 2 = 2,473,740.5

If the quotient is a whole number, then 2 and 2,473,740.5 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 4,947,481
-1 -4,947,481

Now, we try dividing 4,947,481 by 3:

4,947,481 ÷ 3 = 1,649,160.3333

If the quotient is a whole number, then 3 and 1,649,160.3333 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 4,947,481
-1 -4,947,481

Let's try dividing by 4:

4,947,481 ÷ 4 = 1,236,870.25

If the quotient is a whole number, then 4 and 1,236,870.25 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 4,947,481
-1 4,947,481
Keep dividing by the next highest number until you cannot divide anymore.

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

17114967771374695397379591,5073,2835,1596,7139,17910,54936,11364,25373,843100,969449,771706,7834,947,481
-1-7-11-49-67-77-137-469-539-737-959-1,507-3,283-5,159-6,713-9,179-10,549-36,113-64,253-73,843-100,969-449,771-706,783-4,947,481

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 4,947,481:


Ask a Question