Q: What are the factor combinations of the number 550,132,535?

 A:
Positive:   1 x 5501325355 x 110026507131 x 4199485655 x 839897
Negative: -1 x -550132535-5 x -110026507-131 x -4199485-655 x -839897


How do I find the factor combinations of the number 550,132,535?

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 550,132,535, 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.

1 550,132,535
-1 -550,132,535

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 550,132,535.

Example:
1 x 550,132,535 = 550,132,535
and
-1 x -550,132,535 = 550,132,535
Notice both answers equal 550,132,535

With that explanation out of the way, let's continue. Next, we take the number 550,132,535 and divide it by 2:

550,132,535 ÷ 2 = 275,066,267.5

If the quotient is a whole number, then 2 and 275,066,267.5 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:

1 550,132,535
-1 -550,132,535

Now, we try dividing 550,132,535 by 3:

550,132,535 ÷ 3 = 183,377,511.6667

If the quotient is a whole number, then 3 and 183,377,511.6667 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:

1 550,132,535
-1 -550,132,535

Let's try dividing by 4:

550,132,535 ÷ 4 = 137,533,133.75

If the quotient is a whole number, then 4 and 137,533,133.75 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:

1 550,132,535
-1 550,132,535
Keep dividing by the next highest number until you cannot divide anymore.

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

15131655839,8974,199,485110,026,507550,132,535
-1-5-131-655-839,897-4,199,485-110,026,507-550,132,535

More Examples

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