Q: What are the factor combinations of the number 452,550,133?

 A:
Positive:   1 x 4525501337 x 6465001929 x 1560517749 x 9235717203 x 22293111421 x 318473
Negative: -1 x -452550133-7 x -64650019-29 x -15605177-49 x -9235717-203 x -2229311-1421 x -318473


How do I find the factor combinations of the number 452,550,133?

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 452,550,133, 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.

1 452,550,133
-1 -452,550,133

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 452,550,133.

Example:
1 x 452,550,133 = 452,550,133
and
-1 x -452,550,133 = 452,550,133
Notice both answers equal 452,550,133

With that explanation out of the way, let's continue. Next, we take the number 452,550,133 and divide it by 2:

452,550,133 ÷ 2 = 226,275,066.5

If the quotient is a whole number, then 2 and 226,275,066.5 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:

1 452,550,133
-1 -452,550,133

Now, we try dividing 452,550,133 by 3:

452,550,133 ÷ 3 = 150,850,044.3333

If the quotient is a whole number, then 3 and 150,850,044.3333 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:

1 452,550,133
-1 -452,550,133

Let's try dividing by 4:

452,550,133 ÷ 4 = 113,137,533.25

If the quotient is a whole number, then 4 and 113,137,533.25 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:

1 452,550,133
-1 452,550,133
Keep dividing by the next highest number until you cannot divide anymore.

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

1729492031,421318,4732,229,3119,235,71715,605,17764,650,019452,550,133
-1-7-29-49-203-1,421-318,473-2,229,311-9,235,717-15,605,177-64,650,019-452,550,133

More Examples

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