Q: What are the factor combinations of the number 555,410,143?

 A:
Positive:   1 x 555410143107 x 5190749757 x 7336996857 x 80999
Negative: -1 x -555410143-107 x -5190749-757 x -733699-6857 x -80999


How do I find the factor combinations of the number 555,410,143?

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 555,410,143, 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.

1 555,410,143
-1 -555,410,143

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 555,410,143.

Example:
1 x 555,410,143 = 555,410,143
and
-1 x -555,410,143 = 555,410,143
Notice both answers equal 555,410,143

With that explanation out of the way, let's continue. Next, we take the number 555,410,143 and divide it by 2:

555,410,143 ÷ 2 = 277,705,071.5

If the quotient is a whole number, then 2 and 277,705,071.5 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:

1 555,410,143
-1 -555,410,143

Now, we try dividing 555,410,143 by 3:

555,410,143 ÷ 3 = 185,136,714.3333

If the quotient is a whole number, then 3 and 185,136,714.3333 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:

1 555,410,143
-1 -555,410,143

Let's try dividing by 4:

555,410,143 ÷ 4 = 138,852,535.75

If the quotient is a whole number, then 4 and 138,852,535.75 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:

1 555,410,143
-1 555,410,143
Keep dividing by the next highest number until you cannot divide anymore.

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

11077576,85780,999733,6995,190,749555,410,143
-1-107-757-6,857-80,999-733,699-5,190,749-555,410,143

More Examples

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