Q: What are the factor combinations of the number 835,273,153?

 A:
Positive:   1 x 83527315311 x 7593392313 x 64251781143 x 58410712131 x 3919632741 x 30473323441 x 3563327703 x 30151
Negative: -1 x -835273153-11 x -75933923-13 x -64251781-143 x -5841071-2131 x -391963-2741 x -304733-23441 x -35633-27703 x -30151


How do I find the factor combinations of the number 835,273,153?

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 835,273,153, 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.

1 835,273,153
-1 -835,273,153

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 835,273,153.

Example:
1 x 835,273,153 = 835,273,153
and
-1 x -835,273,153 = 835,273,153
Notice both answers equal 835,273,153

With that explanation out of the way, let's continue. Next, we take the number 835,273,153 and divide it by 2:

835,273,153 ÷ 2 = 417,636,576.5

If the quotient is a whole number, then 2 and 417,636,576.5 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:

1 835,273,153
-1 -835,273,153

Now, we try dividing 835,273,153 by 3:

835,273,153 ÷ 3 = 278,424,384.3333

If the quotient is a whole number, then 3 and 278,424,384.3333 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:

1 835,273,153
-1 -835,273,153

Let's try dividing by 4:

835,273,153 ÷ 4 = 208,818,288.25

If the quotient is a whole number, then 4 and 208,818,288.25 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:

1 835,273,153
-1 835,273,153
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432,1312,74123,44127,70330,15135,633304,733391,9635,841,07164,251,78175,933,923835,273,153
-1-11-13-143-2,131-2,741-23,441-27,703-30,151-35,633-304,733-391,963-5,841,071-64,251,781-75,933,923-835,273,153

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