Q: What are the factor combinations of the number 41,120,485?

 A:
Positive:   1 x 411204855 x 82240977 x 587435535 x 1174871181 x 227185905 x 454371267 x 324556335 x 6491
Negative: -1 x -41120485-5 x -8224097-7 x -5874355-35 x -1174871-181 x -227185-905 x -45437-1267 x -32455-6335 x -6491


How do I find the factor combinations of the number 41,120,485?

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 41,120,485, 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 41,120,485
-1 -41,120,485

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 41,120,485.

Example:
1 x 41,120,485 = 41,120,485
and
-1 x -41,120,485 = 41,120,485
Notice both answers equal 41,120,485

With that explanation out of the way, let's continue. Next, we take the number 41,120,485 and divide it by 2:

41,120,485 ÷ 2 = 20,560,242.5

If the quotient is a whole number, then 2 and 20,560,242.5 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 41,120,485
-1 -41,120,485

Now, we try dividing 41,120,485 by 3:

41,120,485 ÷ 3 = 13,706,828.3333

If the quotient is a whole number, then 3 and 13,706,828.3333 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 41,120,485
-1 -41,120,485

Let's try dividing by 4:

41,120,485 ÷ 4 = 10,280,121.25

If the quotient is a whole number, then 4 and 10,280,121.25 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 41,120,485
-1 41,120,485
Keep dividing by the next highest number until you cannot divide anymore.

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

157351819051,2676,3356,49132,45545,437227,1851,174,8715,874,3558,224,09741,120,485
-1-5-7-35-181-905-1,267-6,335-6,491-32,455-45,437-227,185-1,174,871-5,874,355-8,224,097-41,120,485

More Examples

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