Q: What are the factor combinations of the number 425,033,033?

 A:
Positive:   1 x 42503303331 x 137107432857 x 1487694799 x 88567
Negative: -1 x -425033033-31 x -13710743-2857 x -148769-4799 x -88567


How do I find the factor combinations of the number 425,033,033?

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 425,033,033, 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.

1 425,033,033
-1 -425,033,033

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 425,033,033.

Example:
1 x 425,033,033 = 425,033,033
and
-1 x -425,033,033 = 425,033,033
Notice both answers equal 425,033,033

With that explanation out of the way, let's continue. Next, we take the number 425,033,033 and divide it by 2:

425,033,033 ÷ 2 = 212,516,516.5

If the quotient is a whole number, then 2 and 212,516,516.5 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:

1 425,033,033
-1 -425,033,033

Now, we try dividing 425,033,033 by 3:

425,033,033 ÷ 3 = 141,677,677.6667

If the quotient is a whole number, then 3 and 141,677,677.6667 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:

1 425,033,033
-1 -425,033,033

Let's try dividing by 4:

425,033,033 ÷ 4 = 106,258,258.25

If the quotient is a whole number, then 4 and 106,258,258.25 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:

1 425,033,033
-1 425,033,033
Keep dividing by the next highest number until you cannot divide anymore.

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

1312,8574,79988,567148,76913,710,743425,033,033
-1-31-2,857-4,799-88,567-148,769-13,710,743-425,033,033

More Examples

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