Q: What are the factor combinations of the number 404,452,711?

 A:
Positive:   1 x 40445271113 x 3111174743 x 9405877559 x 723529
Negative: -1 x -404452711-13 x -31111747-43 x -9405877-559 x -723529


How do I find the factor combinations of the number 404,452,711?

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 404,452,711, 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.

1 404,452,711
-1 -404,452,711

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 404,452,711.

Example:
1 x 404,452,711 = 404,452,711
and
-1 x -404,452,711 = 404,452,711
Notice both answers equal 404,452,711

With that explanation out of the way, let's continue. Next, we take the number 404,452,711 and divide it by 2:

404,452,711 ÷ 2 = 202,226,355.5

If the quotient is a whole number, then 2 and 202,226,355.5 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:

1 404,452,711
-1 -404,452,711

Now, we try dividing 404,452,711 by 3:

404,452,711 ÷ 3 = 134,817,570.3333

If the quotient is a whole number, then 3 and 134,817,570.3333 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:

1 404,452,711
-1 -404,452,711

Let's try dividing by 4:

404,452,711 ÷ 4 = 101,113,177.75

If the quotient is a whole number, then 4 and 101,113,177.75 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:

1 404,452,711
-1 404,452,711
Keep dividing by the next highest number until you cannot divide anymore.

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

11343559723,5299,405,87731,111,747404,452,711
-1-13-43-559-723,529-9,405,877-31,111,747-404,452,711

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 404,452,711:


Ask a Question