Q: What are the factor combinations of the number 739,075?

 A:
Positive:   1 x 7390755 x 14781517 x 4347525 x 2956337 x 1997547 x 1572585 x 8695185 x 3995235 x 3145425 x 1739629 x 1175799 x 925
Negative: -1 x -739075-5 x -147815-17 x -43475-25 x -29563-37 x -19975-47 x -15725-85 x -8695-185 x -3995-235 x -3145-425 x -1739-629 x -1175-799 x -925


How do I find the factor combinations of the number 739,075?

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 739,075, 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.

1 739,075
-1 -739,075

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 739,075.

Example:
1 x 739,075 = 739,075
and
-1 x -739,075 = 739,075
Notice both answers equal 739,075

With that explanation out of the way, let's continue. Next, we take the number 739,075 and divide it by 2:

739,075 ÷ 2 = 369,537.5

If the quotient is a whole number, then 2 and 369,537.5 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:

1 739,075
-1 -739,075

Now, we try dividing 739,075 by 3:

739,075 ÷ 3 = 246,358.3333

If the quotient is a whole number, then 3 and 246,358.3333 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:

1 739,075
-1 -739,075

Let's try dividing by 4:

739,075 ÷ 4 = 184,768.75

If the quotient is a whole number, then 4 and 184,768.75 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:

1 739,075
-1 739,075
Keep dividing by the next highest number until you cannot divide anymore.

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

1517253747851852354256297999251,1751,7393,1453,9958,69515,72519,97529,56343,475147,815739,075
-1-5-17-25-37-47-85-185-235-425-629-799-925-1,175-1,739-3,145-3,995-8,695-15,725-19,975-29,563-43,475-147,815-739,075

More Examples

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