Q: What are the factor combinations of the number 4,476,989?

 A:
Positive:   1 x 447698911 x 40699919 x 23563131 x 144419209 x 21421341 x 13129589 x 7601691 x 6479
Negative: -1 x -4476989-11 x -406999-19 x -235631-31 x -144419-209 x -21421-341 x -13129-589 x -7601-691 x -6479


How do I find the factor combinations of the number 4,476,989?

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 4,476,989, 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 4,476,989
-1 -4,476,989

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 4,476,989.

Example:
1 x 4,476,989 = 4,476,989
and
-1 x -4,476,989 = 4,476,989
Notice both answers equal 4,476,989

With that explanation out of the way, let's continue. Next, we take the number 4,476,989 and divide it by 2:

4,476,989 ÷ 2 = 2,238,494.5

If the quotient is a whole number, then 2 and 2,238,494.5 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 4,476,989
-1 -4,476,989

Now, we try dividing 4,476,989 by 3:

4,476,989 ÷ 3 = 1,492,329.6667

If the quotient is a whole number, then 3 and 1,492,329.6667 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 4,476,989
-1 -4,476,989

Let's try dividing by 4:

4,476,989 ÷ 4 = 1,119,247.25

If the quotient is a whole number, then 4 and 1,119,247.25 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 4,476,989
-1 4,476,989
Keep dividing by the next highest number until you cannot divide anymore.

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

11119312093415896916,4797,60113,12921,421144,419235,631406,9994,476,989
-1-11-19-31-209-341-589-691-6,479-7,601-13,129-21,421-144,419-235,631-406,999-4,476,989

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 4,476,989:


Ask a Question