Q: What are the factor combinations of the number 550,142,035?

 A:
Positive:   1 x 5501420355 x 11002840729 x 18970415145 x 3794083
Negative: -1 x -550142035-5 x -110028407-29 x -18970415-145 x -3794083


How do I find the factor combinations of the number 550,142,035?

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 550,142,035, 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.

1 550,142,035
-1 -550,142,035

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 550,142,035.

Example:
1 x 550,142,035 = 550,142,035
and
-1 x -550,142,035 = 550,142,035
Notice both answers equal 550,142,035

With that explanation out of the way, let's continue. Next, we take the number 550,142,035 and divide it by 2:

550,142,035 ÷ 2 = 275,071,017.5

If the quotient is a whole number, then 2 and 275,071,017.5 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:

1 550,142,035
-1 -550,142,035

Now, we try dividing 550,142,035 by 3:

550,142,035 ÷ 3 = 183,380,678.3333

If the quotient is a whole number, then 3 and 183,380,678.3333 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:

1 550,142,035
-1 -550,142,035

Let's try dividing by 4:

550,142,035 ÷ 4 = 137,535,508.75

If the quotient is a whole number, then 4 and 137,535,508.75 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:

1 550,142,035
-1 550,142,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15291453,794,08318,970,415110,028,407550,142,035
-1-5-29-145-3,794,083-18,970,415-110,028,407-550,142,035

More Examples

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