Q: What are the factor combinations of the number 45,262,165?

 A:
Positive:   1 x 452621655 x 905243313 x 348170565 x 696341127 x 356395635 x 712791651 x 274155483 x 8255
Negative: -1 x -45262165-5 x -9052433-13 x -3481705-65 x -696341-127 x -356395-635 x -71279-1651 x -27415-5483 x -8255


How do I find the factor combinations of the number 45,262,165?

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 45,262,165, 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 45,262,165
-1 -45,262,165

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 45,262,165.

Example:
1 x 45,262,165 = 45,262,165
and
-1 x -45,262,165 = 45,262,165
Notice both answers equal 45,262,165

With that explanation out of the way, let's continue. Next, we take the number 45,262,165 and divide it by 2:

45,262,165 ÷ 2 = 22,631,082.5

If the quotient is a whole number, then 2 and 22,631,082.5 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 45,262,165
-1 -45,262,165

Now, we try dividing 45,262,165 by 3:

45,262,165 ÷ 3 = 15,087,388.3333

If the quotient is a whole number, then 3 and 15,087,388.3333 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 45,262,165
-1 -45,262,165

Let's try dividing by 4:

45,262,165 ÷ 4 = 11,315,541.25

If the quotient is a whole number, then 4 and 11,315,541.25 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 45,262,165
-1 45,262,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651276351,6515,4838,25527,41571,279356,395696,3413,481,7059,052,43345,262,165
-1-5-13-65-127-635-1,651-5,483-8,255-27,415-71,279-356,395-696,341-3,481,705-9,052,433-45,262,165

More Examples

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