Q: What are the factor combinations of the number 400,051,225?

 A:
Positive:   1 x 4000512255 x 800102457 x 5715017517 x 2353242525 x 1600204935 x 1143003585 x 4706485119 x 3361775175 x 2286007425 x 941297595 x 6723552975 x 134471
Negative: -1 x -400051225-5 x -80010245-7 x -57150175-17 x -23532425-25 x -16002049-35 x -11430035-85 x -4706485-119 x -3361775-175 x -2286007-425 x -941297-595 x -672355-2975 x -134471


How do I find the factor combinations of the number 400,051,225?

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 400,051,225, 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.

1 400,051,225
-1 -400,051,225

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 400,051,225.

Example:
1 x 400,051,225 = 400,051,225
and
-1 x -400,051,225 = 400,051,225
Notice both answers equal 400,051,225

With that explanation out of the way, let's continue. Next, we take the number 400,051,225 and divide it by 2:

400,051,225 ÷ 2 = 200,025,612.5

If the quotient is a whole number, then 2 and 200,025,612.5 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:

1 400,051,225
-1 -400,051,225

Now, we try dividing 400,051,225 by 3:

400,051,225 ÷ 3 = 133,350,408.3333

If the quotient is a whole number, then 3 and 133,350,408.3333 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:

1 400,051,225
-1 -400,051,225

Let's try dividing by 4:

400,051,225 ÷ 4 = 100,012,806.25

If the quotient is a whole number, then 4 and 100,012,806.25 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:

1 400,051,225
-1 400,051,225
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191754255952,975134,471672,355941,2972,286,0073,361,7754,706,48511,430,03516,002,04923,532,42557,150,17580,010,245400,051,225
-1-5-7-17-25-35-85-119-175-425-595-2,975-134,471-672,355-941,297-2,286,007-3,361,775-4,706,485-11,430,035-16,002,049-23,532,425-57,150,175-80,010,245-400,051,225

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