Q: What are the factor combinations of the number 32,012,305?

 A:
Positive:   1 x 320123055 x 640246113 x 246248531 x 103265565 x 492497155 x 206531403 x 794352015 x 15887
Negative: -1 x -32012305-5 x -6402461-13 x -2462485-31 x -1032655-65 x -492497-155 x -206531-403 x -79435-2015 x -15887


How do I find the factor combinations of the number 32,012,305?

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 32,012,305, 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 32,012,305
-1 -32,012,305

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 32,012,305.

Example:
1 x 32,012,305 = 32,012,305
and
-1 x -32,012,305 = 32,012,305
Notice both answers equal 32,012,305

With that explanation out of the way, let's continue. Next, we take the number 32,012,305 and divide it by 2:

32,012,305 ÷ 2 = 16,006,152.5

If the quotient is a whole number, then 2 and 16,006,152.5 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 32,012,305
-1 -32,012,305

Now, we try dividing 32,012,305 by 3:

32,012,305 ÷ 3 = 10,670,768.3333

If the quotient is a whole number, then 3 and 10,670,768.3333 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 32,012,305
-1 -32,012,305

Let's try dividing by 4:

32,012,305 ÷ 4 = 8,003,076.25

If the quotient is a whole number, then 4 and 8,003,076.25 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 32,012,305
-1 32,012,305
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651554032,01515,88779,435206,531492,4971,032,6552,462,4856,402,46132,012,305
-1-5-13-31-65-155-403-2,015-15,887-79,435-206,531-492,497-1,032,655-2,462,485-6,402,461-32,012,305

More Examples

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