Q: What are the factor combinations of the number 540,550,351?

 A:
Positive:   1 x 54055035111 x 49140941137 x 3945623409 x 1321639877 x 6163631507 x 3586934499 x 1201499647 x 56033
Negative: -1 x -540550351-11 x -49140941-137 x -3945623-409 x -1321639-877 x -616363-1507 x -358693-4499 x -120149-9647 x -56033


How do I find the factor combinations of the number 540,550,351?

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 540,550,351, 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.

1 540,550,351
-1 -540,550,351

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 540,550,351.

Example:
1 x 540,550,351 = 540,550,351
and
-1 x -540,550,351 = 540,550,351
Notice both answers equal 540,550,351

With that explanation out of the way, let's continue. Next, we take the number 540,550,351 and divide it by 2:

540,550,351 ÷ 2 = 270,275,175.5

If the quotient is a whole number, then 2 and 270,275,175.5 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:

1 540,550,351
-1 -540,550,351

Now, we try dividing 540,550,351 by 3:

540,550,351 ÷ 3 = 180,183,450.3333

If the quotient is a whole number, then 3 and 180,183,450.3333 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:

1 540,550,351
-1 -540,550,351

Let's try dividing by 4:

540,550,351 ÷ 4 = 135,137,587.75

If the quotient is a whole number, then 4 and 135,137,587.75 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:

1 540,550,351
-1 540,550,351
Keep dividing by the next highest number until you cannot divide anymore.

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

1111374098771,5074,4999,64756,033120,149358,693616,3631,321,6393,945,62349,140,941540,550,351
-1-11-137-409-877-1,507-4,499-9,647-56,033-120,149-358,693-616,363-1,321,639-3,945,623-49,140,941-540,550,351

More Examples

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