Q: What are the factor combinations of the number 431,042,225?

 A:
Positive:   1 x 4310422255 x 8620844517 x 2535542525 x 1724168929 x 1486352541 x 1051322585 x 5071085145 x 2972705205 x 2102645425 x 1014217493 x 874325697 x 618425725 x 594541853 x 5053251025 x 4205291189 x 3625252465 x 1748653485 x 1236854265 x 1010655945 x 7250512325 x 3497314501 x 2972517425 x 2473720213 x 21325
Negative: -1 x -431042225-5 x -86208445-17 x -25355425-25 x -17241689-29 x -14863525-41 x -10513225-85 x -5071085-145 x -2972705-205 x -2102645-425 x -1014217-493 x -874325-697 x -618425-725 x -594541-853 x -505325-1025 x -420529-1189 x -362525-2465 x -174865-3485 x -123685-4265 x -101065-5945 x -72505-12325 x -34973-14501 x -29725-17425 x -24737-20213 x -21325


How do I find the factor combinations of the number 431,042,225?

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 431,042,225, 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.

1 431,042,225
-1 -431,042,225

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 431,042,225.

Example:
1 x 431,042,225 = 431,042,225
and
-1 x -431,042,225 = 431,042,225
Notice both answers equal 431,042,225

With that explanation out of the way, let's continue. Next, we take the number 431,042,225 and divide it by 2:

431,042,225 ÷ 2 = 215,521,112.5

If the quotient is a whole number, then 2 and 215,521,112.5 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:

1 431,042,225
-1 -431,042,225

Now, we try dividing 431,042,225 by 3:

431,042,225 ÷ 3 = 143,680,741.6667

If the quotient is a whole number, then 3 and 143,680,741.6667 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:

1 431,042,225
-1 -431,042,225

Let's try dividing by 4:

431,042,225 ÷ 4 = 107,760,556.25

If the quotient is a whole number, then 4 and 107,760,556.25 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:

1 431,042,225
-1 431,042,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1517252941851452054254936977258531,0251,1892,4653,4854,2655,94512,32514,50117,42520,21321,32524,73729,72534,97372,505101,065123,685174,865362,525420,529505,325594,541618,425874,3251,014,2172,102,6452,972,7055,071,08510,513,22514,863,52517,241,68925,355,42586,208,445431,042,225
-1-5-17-25-29-41-85-145-205-425-493-697-725-853-1,025-1,189-2,465-3,485-4,265-5,945-12,325-14,501-17,425-20,213-21,325-24,737-29,725-34,973-72,505-101,065-123,685-174,865-362,525-420,529-505,325-594,541-618,425-874,325-1,014,217-2,102,645-2,972,705-5,071,085-10,513,225-14,863,525-17,241,689-25,355,425-86,208,445-431,042,225

More Examples

Here are some more numbers to try:

431,042,223431,042,224431,042,226431,042,227
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