Q: What are the factor combinations of the number 401,332,255?

 A:
Positive:   1 x 4013322555 x 80266451131 x 3063605199 x 2016745655 x 612721995 x 4033493079 x 13034515395 x 26069
Negative: -1 x -401332255-5 x -80266451-131 x -3063605-199 x -2016745-655 x -612721-995 x -403349-3079 x -130345-15395 x -26069


How do I find the factor combinations of the number 401,332,255?

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 401,332,255, 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.

1 401,332,255
-1 -401,332,255

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 401,332,255.

Example:
1 x 401,332,255 = 401,332,255
and
-1 x -401,332,255 = 401,332,255
Notice both answers equal 401,332,255

With that explanation out of the way, let's continue. Next, we take the number 401,332,255 and divide it by 2:

401,332,255 ÷ 2 = 200,666,127.5

If the quotient is a whole number, then 2 and 200,666,127.5 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:

1 401,332,255
-1 -401,332,255

Now, we try dividing 401,332,255 by 3:

401,332,255 ÷ 3 = 133,777,418.3333

If the quotient is a whole number, then 3 and 133,777,418.3333 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:

1 401,332,255
-1 -401,332,255

Let's try dividing by 4:

401,332,255 ÷ 4 = 100,333,063.75

If the quotient is a whole number, then 4 and 100,333,063.75 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:

1 401,332,255
-1 401,332,255
Keep dividing by the next highest number until you cannot divide anymore.

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

151311996559953,07915,39526,069130,345403,349612,7212,016,7453,063,60580,266,451401,332,255
-1-5-131-199-655-995-3,079-15,395-26,069-130,345-403,349-612,721-2,016,745-3,063,605-80,266,451-401,332,255

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 401,332,255:


Ask a Question