Q: What are the factor combinations of the number 35,333,831?

 A:
Positive:   1 x 3533383113 x 271798731 x 113980143 x 821717403 x 87677559 x 632091333 x 265072039 x 17329
Negative: -1 x -35333831-13 x -2717987-31 x -1139801-43 x -821717-403 x -87677-559 x -63209-1333 x -26507-2039 x -17329


How do I find the factor combinations of the number 35,333,831?

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 35,333,831, 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 35,333,831
-1 -35,333,831

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 35,333,831.

Example:
1 x 35,333,831 = 35,333,831
and
-1 x -35,333,831 = 35,333,831
Notice both answers equal 35,333,831

With that explanation out of the way, let's continue. Next, we take the number 35,333,831 and divide it by 2:

35,333,831 ÷ 2 = 17,666,915.5

If the quotient is a whole number, then 2 and 17,666,915.5 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 35,333,831
-1 -35,333,831

Now, we try dividing 35,333,831 by 3:

35,333,831 ÷ 3 = 11,777,943.6667

If the quotient is a whole number, then 3 and 11,777,943.6667 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 35,333,831
-1 -35,333,831

Let's try dividing by 4:

35,333,831 ÷ 4 = 8,833,457.75

If the quotient is a whole number, then 4 and 8,833,457.75 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 35,333,831
-1 35,333,831
Keep dividing by the next highest number until you cannot divide anymore.

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

11331434035591,3332,03917,32926,50763,20987,677821,7171,139,8012,717,98735,333,831
-1-13-31-43-403-559-1,333-2,039-17,329-26,507-63,209-87,677-821,717-1,139,801-2,717,987-35,333,831

More Examples

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