Q: What are the factor combinations of the number 46,021,055?

 A:
Positive:   1 x 460210555 x 920421179 x 582545263 x 174985395 x 116509443 x 1038851315 x 349972215 x 20777
Negative: -1 x -46021055-5 x -9204211-79 x -582545-263 x -174985-395 x -116509-443 x -103885-1315 x -34997-2215 x -20777


How do I find the factor combinations of the number 46,021,055?

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 46,021,055, 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 46,021,055
-1 -46,021,055

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 46,021,055.

Example:
1 x 46,021,055 = 46,021,055
and
-1 x -46,021,055 = 46,021,055
Notice both answers equal 46,021,055

With that explanation out of the way, let's continue. Next, we take the number 46,021,055 and divide it by 2:

46,021,055 ÷ 2 = 23,010,527.5

If the quotient is a whole number, then 2 and 23,010,527.5 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 46,021,055
-1 -46,021,055

Now, we try dividing 46,021,055 by 3:

46,021,055 ÷ 3 = 15,340,351.6667

If the quotient is a whole number, then 3 and 15,340,351.6667 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 46,021,055
-1 -46,021,055

Let's try dividing by 4:

46,021,055 ÷ 4 = 11,505,263.75

If the quotient is a whole number, then 4 and 11,505,263.75 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 46,021,055
-1 46,021,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15792633954431,3152,21520,77734,997103,885116,509174,985582,5459,204,21146,021,055
-1-5-79-263-395-443-1,315-2,215-20,777-34,997-103,885-116,509-174,985-582,545-9,204,211-46,021,055

More Examples

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