Q: What are the factor combinations of the number 202,351,045?

 A:
Positive:   1 x 2023510455 x 4047020913 x 1556546519 x 1065005565 x 311309395 x 2130011247 x 8192351235 x 163847
Negative: -1 x -202351045-5 x -40470209-13 x -15565465-19 x -10650055-65 x -3113093-95 x -2130011-247 x -819235-1235 x -163847


How do I find the factor combinations of the number 202,351,045?

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 202,351,045, 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.

1 202,351,045
-1 -202,351,045

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 202,351,045.

Example:
1 x 202,351,045 = 202,351,045
and
-1 x -202,351,045 = 202,351,045
Notice both answers equal 202,351,045

With that explanation out of the way, let's continue. Next, we take the number 202,351,045 and divide it by 2:

202,351,045 ÷ 2 = 101,175,522.5

If the quotient is a whole number, then 2 and 101,175,522.5 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:

1 202,351,045
-1 -202,351,045

Now, we try dividing 202,351,045 by 3:

202,351,045 ÷ 3 = 67,450,348.3333

If the quotient is a whole number, then 3 and 67,450,348.3333 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:

1 202,351,045
-1 -202,351,045

Let's try dividing by 4:

202,351,045 ÷ 4 = 50,587,761.25

If the quotient is a whole number, then 4 and 50,587,761.25 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:

1 202,351,045
-1 202,351,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952471,235163,847819,2352,130,0113,113,09310,650,05515,565,46540,470,209202,351,045
-1-5-13-19-65-95-247-1,235-163,847-819,235-2,130,011-3,113,093-10,650,055-15,565,465-40,470,209-202,351,045

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