Q: What are the factor combinations of the number 401,555?

 A:
Positive:   1 x 4015555 x 803117 x 5736511 x 3650535 x 1147349 x 819555 x 730177 x 5215149 x 2695245 x 1639385 x 1043539 x 745
Negative: -1 x -401555-5 x -80311-7 x -57365-11 x -36505-35 x -11473-49 x -8195-55 x -7301-77 x -5215-149 x -2695-245 x -1639-385 x -1043-539 x -745


How do I find the factor combinations of the number 401,555?

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 401,555, 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.

1 401,555
-1 -401,555

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 401,555.

Example:
1 x 401,555 = 401,555
and
-1 x -401,555 = 401,555
Notice both answers equal 401,555

With that explanation out of the way, let's continue. Next, we take the number 401,555 and divide it by 2:

401,555 ÷ 2 = 200,777.5

If the quotient is a whole number, then 2 and 200,777.5 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:

1 401,555
-1 -401,555

Now, we try dividing 401,555 by 3:

401,555 ÷ 3 = 133,851.6667

If the quotient is a whole number, then 3 and 133,851.6667 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:

1 401,555
-1 -401,555

Let's try dividing by 4:

401,555 ÷ 4 = 100,388.75

If the quotient is a whole number, then 4 and 100,388.75 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:

1 401,555
-1 401,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15711354955771492453855397451,0431,6392,6955,2157,3018,19511,47336,50557,36580,311401,555
-1-5-7-11-35-49-55-77-149-245-385-539-745-1,043-1,639-2,695-5,215-7,301-8,195-11,473-36,505-57,365-80,311-401,555

More Examples

Here are some more numbers to try:

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