Q: What are the factor combinations of the number 33,710,441?

 A:
Positive:   1 x 3371044129 x 116242937 x 91109389 x 378769353 x 954971073 x 314172581 x 130613293 x 10237
Negative: -1 x -33710441-29 x -1162429-37 x -911093-89 x -378769-353 x -95497-1073 x -31417-2581 x -13061-3293 x -10237


How do I find the factor combinations of the number 33,710,441?

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 33,710,441, 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 33,710,441
-1 -33,710,441

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 33,710,441.

Example:
1 x 33,710,441 = 33,710,441
and
-1 x -33,710,441 = 33,710,441
Notice both answers equal 33,710,441

With that explanation out of the way, let's continue. Next, we take the number 33,710,441 and divide it by 2:

33,710,441 ÷ 2 = 16,855,220.5

If the quotient is a whole number, then 2 and 16,855,220.5 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 33,710,441
-1 -33,710,441

Now, we try dividing 33,710,441 by 3:

33,710,441 ÷ 3 = 11,236,813.6667

If the quotient is a whole number, then 3 and 11,236,813.6667 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 33,710,441
-1 -33,710,441

Let's try dividing by 4:

33,710,441 ÷ 4 = 8,427,610.25

If the quotient is a whole number, then 4 and 8,427,610.25 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 33,710,441
-1 33,710,441
Keep dividing by the next highest number until you cannot divide anymore.

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

12937893531,0732,5813,29310,23713,06131,41795,497378,769911,0931,162,42933,710,441
-1-29-37-89-353-1,073-2,581-3,293-10,237-13,061-31,417-95,497-378,769-911,093-1,162,429-33,710,441

More Examples

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