Q: What are the factor combinations of the number 368,427,125?

 A:
Positive:   1 x 3684271255 x 7368542511 x 3349337525 x 1473708547 x 783887555 x 6698675125 x 2947417235 x 1567775275 x 1339735517 x 7126251175 x 3135551375 x 2679472585 x 1425255701 x 646255875 x 6271112925 x 28505
Negative: -1 x -368427125-5 x -73685425-11 x -33493375-25 x -14737085-47 x -7838875-55 x -6698675-125 x -2947417-235 x -1567775-275 x -1339735-517 x -712625-1175 x -313555-1375 x -267947-2585 x -142525-5701 x -64625-5875 x -62711-12925 x -28505


How do I find the factor combinations of the number 368,427,125?

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 368,427,125, 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.

1 368,427,125
-1 -368,427,125

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 368,427,125.

Example:
1 x 368,427,125 = 368,427,125
and
-1 x -368,427,125 = 368,427,125
Notice both answers equal 368,427,125

With that explanation out of the way, let's continue. Next, we take the number 368,427,125 and divide it by 2:

368,427,125 ÷ 2 = 184,213,562.5

If the quotient is a whole number, then 2 and 184,213,562.5 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:

1 368,427,125
-1 -368,427,125

Now, we try dividing 368,427,125 by 3:

368,427,125 ÷ 3 = 122,809,041.6667

If the quotient is a whole number, then 3 and 122,809,041.6667 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:

1 368,427,125
-1 -368,427,125

Let's try dividing by 4:

368,427,125 ÷ 4 = 92,106,781.25

If the quotient is a whole number, then 4 and 92,106,781.25 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:

1 368,427,125
-1 368,427,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15112547551252352755171,1751,3752,5855,7015,87512,92528,50562,71164,625142,525267,947313,555712,6251,339,7351,567,7752,947,4176,698,6757,838,87514,737,08533,493,37573,685,425368,427,125
-1-5-11-25-47-55-125-235-275-517-1,175-1,375-2,585-5,701-5,875-12,925-28,505-62,711-64,625-142,525-267,947-313,555-712,625-1,339,735-1,567,775-2,947,417-6,698,675-7,838,875-14,737,085-33,493,375-73,685,425-368,427,125

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