Q: What are the factor combinations of the number 123,551,533?

 A:
Positive:   1 x 1235515337 x 1765021953 x 2331161371 x 333023
Negative: -1 x -123551533-7 x -17650219-53 x -2331161-371 x -333023


How do I find the factor combinations of the number 123,551,533?

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 123,551,533, 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.

1 123,551,533
-1 -123,551,533

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 123,551,533.

Example:
1 x 123,551,533 = 123,551,533
and
-1 x -123,551,533 = 123,551,533
Notice both answers equal 123,551,533

With that explanation out of the way, let's continue. Next, we take the number 123,551,533 and divide it by 2:

123,551,533 ÷ 2 = 61,775,766.5

If the quotient is a whole number, then 2 and 61,775,766.5 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:

1 123,551,533
-1 -123,551,533

Now, we try dividing 123,551,533 by 3:

123,551,533 ÷ 3 = 41,183,844.3333

If the quotient is a whole number, then 3 and 41,183,844.3333 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:

1 123,551,533
-1 -123,551,533

Let's try dividing by 4:

123,551,533 ÷ 4 = 30,887,883.25

If the quotient is a whole number, then 4 and 30,887,883.25 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:

1 123,551,533
-1 123,551,533
Keep dividing by the next highest number until you cannot divide anymore.

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

1753371333,0232,331,16117,650,219123,551,533
-1-7-53-371-333,023-2,331,161-17,650,219-123,551,533

More Examples

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