Q: What are the factor combinations of the number 40,448,555?

 A:
Positive:   1 x 404485555 x 80897117 x 577836535 x 1155673619 x 653451867 x 216653095 x 130694333 x 9335
Negative: -1 x -40448555-5 x -8089711-7 x -5778365-35 x -1155673-619 x -65345-1867 x -21665-3095 x -13069-4333 x -9335


How do I find the factor combinations of the number 40,448,555?

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 40,448,555, 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 40,448,555
-1 -40,448,555

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 40,448,555.

Example:
1 x 40,448,555 = 40,448,555
and
-1 x -40,448,555 = 40,448,555
Notice both answers equal 40,448,555

With that explanation out of the way, let's continue. Next, we take the number 40,448,555 and divide it by 2:

40,448,555 ÷ 2 = 20,224,277.5

If the quotient is a whole number, then 2 and 20,224,277.5 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 40,448,555
-1 -40,448,555

Now, we try dividing 40,448,555 by 3:

40,448,555 ÷ 3 = 13,482,851.6667

If the quotient is a whole number, then 3 and 13,482,851.6667 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 40,448,555
-1 -40,448,555

Let's try dividing by 4:

40,448,555 ÷ 4 = 10,112,138.75

If the quotient is a whole number, then 4 and 10,112,138.75 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 40,448,555
-1 40,448,555
Keep dividing by the next highest number until you cannot divide anymore.

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

157356191,8673,0954,3339,33513,06921,66565,3451,155,6735,778,3658,089,71140,448,555
-1-5-7-35-619-1,867-3,095-4,333-9,335-13,069-21,665-65,345-1,155,673-5,778,365-8,089,711-40,448,555

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,448,555:


Ask a Question