Q: What are the factor combinations of the number 234,325,033?

 A:
Positive:   1 x 23432503337 x 633310947 x 4985639127 x 18450791061 x 2208531739 x 1347474699 x 498675969 x 39257
Negative: -1 x -234325033-37 x -6333109-47 x -4985639-127 x -1845079-1061 x -220853-1739 x -134747-4699 x -49867-5969 x -39257


How do I find the factor combinations of the number 234,325,033?

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 234,325,033, 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.

1 234,325,033
-1 -234,325,033

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 234,325,033.

Example:
1 x 234,325,033 = 234,325,033
and
-1 x -234,325,033 = 234,325,033
Notice both answers equal 234,325,033

With that explanation out of the way, let's continue. Next, we take the number 234,325,033 and divide it by 2:

234,325,033 ÷ 2 = 117,162,516.5

If the quotient is a whole number, then 2 and 117,162,516.5 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:

1 234,325,033
-1 -234,325,033

Now, we try dividing 234,325,033 by 3:

234,325,033 ÷ 3 = 78,108,344.3333

If the quotient is a whole number, then 3 and 78,108,344.3333 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:

1 234,325,033
-1 -234,325,033

Let's try dividing by 4:

234,325,033 ÷ 4 = 58,581,258.25

If the quotient is a whole number, then 4 and 58,581,258.25 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:

1 234,325,033
-1 234,325,033
Keep dividing by the next highest number until you cannot divide anymore.

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

137471271,0611,7394,6995,96939,25749,867134,747220,8531,845,0794,985,6396,333,109234,325,033
-1-37-47-127-1,061-1,739-4,699-5,969-39,257-49,867-134,747-220,853-1,845,079-4,985,639-6,333,109-234,325,033

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