Q: What are the factor combinations of the number 224,000,033?

 A:
Positive:   1 x 224000033353 x 634561487 x 4599591303 x 171911
Negative: -1 x -224000033-353 x -634561-487 x -459959-1303 x -171911


How do I find the factor combinations of the number 224,000,033?

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 224,000,033, 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.

1 224,000,033
-1 -224,000,033

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 224,000,033.

Example:
1 x 224,000,033 = 224,000,033
and
-1 x -224,000,033 = 224,000,033
Notice both answers equal 224,000,033

With that explanation out of the way, let's continue. Next, we take the number 224,000,033 and divide it by 2:

224,000,033 ÷ 2 = 112,000,016.5

If the quotient is a whole number, then 2 and 112,000,016.5 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:

1 224,000,033
-1 -224,000,033

Now, we try dividing 224,000,033 by 3:

224,000,033 ÷ 3 = 74,666,677.6667

If the quotient is a whole number, then 3 and 74,666,677.6667 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:

1 224,000,033
-1 -224,000,033

Let's try dividing by 4:

224,000,033 ÷ 4 = 56,000,008.25

If the quotient is a whole number, then 4 and 56,000,008.25 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:

1 224,000,033
-1 224,000,033
Keep dividing by the next highest number until you cannot divide anymore.

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

13534871,303171,911459,959634,561224,000,033
-1-353-487-1,303-171,911-459,959-634,561-224,000,033

More Examples

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