Q: What are the factor combinations of the number 739,375?

 A:
Positive:   1 x 7393755 x 1478757 x 10562513 x 5687525 x 2957535 x 2112565 x 1137591 x 8125125 x 5915169 x 4375175 x 4225325 x 2275455 x 1625625 x 1183845 x 875
Negative: -1 x -739375-5 x -147875-7 x -105625-13 x -56875-25 x -29575-35 x -21125-65 x -11375-91 x -8125-125 x -5915-169 x -4375-175 x -4225-325 x -2275-455 x -1625-625 x -1183-845 x -875


How do I find the factor combinations of the number 739,375?

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 739,375, 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.

1 739,375
-1 -739,375

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 739,375.

Example:
1 x 739,375 = 739,375
and
-1 x -739,375 = 739,375
Notice both answers equal 739,375

With that explanation out of the way, let's continue. Next, we take the number 739,375 and divide it by 2:

739,375 ÷ 2 = 369,687.5

If the quotient is a whole number, then 2 and 369,687.5 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:

1 739,375
-1 -739,375

Now, we try dividing 739,375 by 3:

739,375 ÷ 3 = 246,458.3333

If the quotient is a whole number, then 3 and 246,458.3333 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:

1 739,375
-1 -739,375

Let's try dividing by 4:

739,375 ÷ 4 = 184,843.75

If the quotient is a whole number, then 4 and 184,843.75 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:

1 739,375
-1 739,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911251691753254556258458751,1831,6252,2754,2254,3755,9158,12511,37521,12529,57556,875105,625147,875739,375
-1-5-7-13-25-35-65-91-125-169-175-325-455-625-845-875-1,183-1,625-2,275-4,225-4,375-5,915-8,125-11,375-21,125-29,575-56,875-105,625-147,875-739,375

More Examples

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