Q: What are the factor combinations of the number 46,246,235?

 A:
Positive:   1 x 462462355 x 92492477 x 660660535 x 132132161 x 758135305 x 151627427 x 1083052135 x 21661
Negative: -1 x -46246235-5 x -9249247-7 x -6606605-35 x -1321321-61 x -758135-305 x -151627-427 x -108305-2135 x -21661


How do I find the factor combinations of the number 46,246,235?

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 46,246,235, 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 46,246,235
-1 -46,246,235

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 46,246,235.

Example:
1 x 46,246,235 = 46,246,235
and
-1 x -46,246,235 = 46,246,235
Notice both answers equal 46,246,235

With that explanation out of the way, let's continue. Next, we take the number 46,246,235 and divide it by 2:

46,246,235 ÷ 2 = 23,123,117.5

If the quotient is a whole number, then 2 and 23,123,117.5 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 46,246,235
-1 -46,246,235

Now, we try dividing 46,246,235 by 3:

46,246,235 ÷ 3 = 15,415,411.6667

If the quotient is a whole number, then 3 and 15,415,411.6667 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 46,246,235
-1 -46,246,235

Let's try dividing by 4:

46,246,235 ÷ 4 = 11,561,558.75

If the quotient is a whole number, then 4 and 11,561,558.75 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 46,246,235
-1 46,246,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15735613054272,13521,661108,305151,627758,1351,321,3216,606,6059,249,24746,246,235
-1-5-7-35-61-305-427-2,135-21,661-108,305-151,627-758,135-1,321,321-6,606,605-9,249,247-46,246,235

More Examples

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