Q: What are the factor combinations of the number 32,441,155?

 A:
Positive:   1 x 324411555 x 648823123 x 1410485115 x 282097
Negative: -1 x -32441155-5 x -6488231-23 x -1410485-115 x -282097


How do I find the factor combinations of the number 32,441,155?

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 32,441,155, 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 32,441,155
-1 -32,441,155

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 32,441,155.

Example:
1 x 32,441,155 = 32,441,155
and
-1 x -32,441,155 = 32,441,155
Notice both answers equal 32,441,155

With that explanation out of the way, let's continue. Next, we take the number 32,441,155 and divide it by 2:

32,441,155 ÷ 2 = 16,220,577.5

If the quotient is a whole number, then 2 and 16,220,577.5 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 32,441,155
-1 -32,441,155

Now, we try dividing 32,441,155 by 3:

32,441,155 ÷ 3 = 10,813,718.3333

If the quotient is a whole number, then 3 and 10,813,718.3333 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 32,441,155
-1 -32,441,155

Let's try dividing by 4:

32,441,155 ÷ 4 = 8,110,288.75

If the quotient is a whole number, then 4 and 8,110,288.75 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 32,441,155
-1 32,441,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1523115282,0971,410,4856,488,23132,441,155
-1-5-23-115-282,097-1,410,485-6,488,231-32,441,155

More Examples

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