Q: What are the factor combinations of the number 46,021,235?

 A:
Positive:   1 x 460212355 x 920424713 x 354009565 x 708019107 x 430105169 x 272315509 x 90415535 x 86021845 x 544631391 x 330852545 x 180836617 x 6955
Negative: -1 x -46021235-5 x -9204247-13 x -3540095-65 x -708019-107 x -430105-169 x -272315-509 x -90415-535 x -86021-845 x -54463-1391 x -33085-2545 x -18083-6617 x -6955


How do I find the factor combinations of the number 46,021,235?

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 46,021,235, 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 46,021,235
-1 -46,021,235

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 46,021,235.

Example:
1 x 46,021,235 = 46,021,235
and
-1 x -46,021,235 = 46,021,235
Notice both answers equal 46,021,235

With that explanation out of the way, let's continue. Next, we take the number 46,021,235 and divide it by 2:

46,021,235 ÷ 2 = 23,010,617.5

If the quotient is a whole number, then 2 and 23,010,617.5 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 46,021,235
-1 -46,021,235

Now, we try dividing 46,021,235 by 3:

46,021,235 ÷ 3 = 15,340,411.6667

If the quotient is a whole number, then 3 and 15,340,411.6667 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 46,021,235
-1 -46,021,235

Let's try dividing by 4:

46,021,235 ÷ 4 = 11,505,308.75

If the quotient is a whole number, then 4 and 11,505,308.75 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 46,021,235
-1 46,021,235
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651071695095358451,3912,5456,6176,95518,08333,08554,46386,02190,415272,315430,105708,0193,540,0959,204,24746,021,235
-1-5-13-65-107-169-509-535-845-1,391-2,545-6,617-6,955-18,083-33,085-54,463-86,021-90,415-272,315-430,105-708,019-3,540,095-9,204,247-46,021,235

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