Q: What are the factor combinations of the number 421,202,255?

 A:
Positive:   1 x 4212022555 x 8424045161 x 6904955233 x 1807735305 x 13809911165 x 3615475927 x 7106514213 x 29635
Negative: -1 x -421202255-5 x -84240451-61 x -6904955-233 x -1807735-305 x -1380991-1165 x -361547-5927 x -71065-14213 x -29635


How do I find the factor combinations of the number 421,202,255?

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 421,202,255, 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.

1 421,202,255
-1 -421,202,255

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 421,202,255.

Example:
1 x 421,202,255 = 421,202,255
and
-1 x -421,202,255 = 421,202,255
Notice both answers equal 421,202,255

With that explanation out of the way, let's continue. Next, we take the number 421,202,255 and divide it by 2:

421,202,255 ÷ 2 = 210,601,127.5

If the quotient is a whole number, then 2 and 210,601,127.5 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:

1 421,202,255
-1 -421,202,255

Now, we try dividing 421,202,255 by 3:

421,202,255 ÷ 3 = 140,400,751.6667

If the quotient is a whole number, then 3 and 140,400,751.6667 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:

1 421,202,255
-1 -421,202,255

Let's try dividing by 4:

421,202,255 ÷ 4 = 105,300,563.75

If the quotient is a whole number, then 4 and 105,300,563.75 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:

1 421,202,255
-1 421,202,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15612333051,1655,92714,21329,63571,065361,5471,380,9911,807,7356,904,95584,240,451421,202,255
-1-5-61-233-305-1,165-5,927-14,213-29,635-71,065-361,547-1,380,991-1,807,735-6,904,955-84,240,451-421,202,255

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