Q: What are the factor combinations of the number 46,204,205?

 A:
Positive:   1 x 462042055 x 924084167 x 689615107 x 431815335 x 137923535 x 863631289 x 358456445 x 7169
Negative: -1 x -46204205-5 x -9240841-67 x -689615-107 x -431815-335 x -137923-535 x -86363-1289 x -35845-6445 x -7169


How do I find the factor combinations of the number 46,204,205?

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 46,204,205, 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 46,204,205
-1 -46,204,205

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 46,204,205.

Example:
1 x 46,204,205 = 46,204,205
and
-1 x -46,204,205 = 46,204,205
Notice both answers equal 46,204,205

With that explanation out of the way, let's continue. Next, we take the number 46,204,205 and divide it by 2:

46,204,205 ÷ 2 = 23,102,102.5

If the quotient is a whole number, then 2 and 23,102,102.5 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 46,204,205
-1 -46,204,205

Now, we try dividing 46,204,205 by 3:

46,204,205 ÷ 3 = 15,401,401.6667

If the quotient is a whole number, then 3 and 15,401,401.6667 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 46,204,205
-1 -46,204,205

Let's try dividing by 4:

46,204,205 ÷ 4 = 11,551,051.25

If the quotient is a whole number, then 4 and 11,551,051.25 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 46,204,205
-1 46,204,205
Keep dividing by the next highest number until you cannot divide anymore.

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

15671073355351,2896,4457,16935,84586,363137,923431,815689,6159,240,84146,204,205
-1-5-67-107-335-535-1,289-6,445-7,169-35,845-86,363-137,923-431,815-689,615-9,240,841-46,204,205

More Examples

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