Q: What are the factor combinations of the number 737,275?

 A:
Positive:   1 x 7372755 x 1474557 x 10532511 x 6702525 x 2949135 x 2106555 x 1340577 x 9575175 x 4213275 x 2681383 x 1925385 x 1915
Negative: -1 x -737275-5 x -147455-7 x -105325-11 x -67025-25 x -29491-35 x -21065-55 x -13405-77 x -9575-175 x -4213-275 x -2681-383 x -1925-385 x -1915


How do I find the factor combinations of the number 737,275?

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 737,275, 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.

1 737,275
-1 -737,275

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 737,275.

Example:
1 x 737,275 = 737,275
and
-1 x -737,275 = 737,275
Notice both answers equal 737,275

With that explanation out of the way, let's continue. Next, we take the number 737,275 and divide it by 2:

737,275 ÷ 2 = 368,637.5

If the quotient is a whole number, then 2 and 368,637.5 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:

1 737,275
-1 -737,275

Now, we try dividing 737,275 by 3:

737,275 ÷ 3 = 245,758.3333

If the quotient is a whole number, then 3 and 245,758.3333 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:

1 737,275
-1 -737,275

Let's try dividing by 4:

737,275 ÷ 4 = 184,318.75

If the quotient is a whole number, then 4 and 184,318.75 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:

1 737,275
-1 737,275
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771752753833851,9151,9252,6814,2139,57513,40521,06529,49167,025105,325147,455737,275
-1-5-7-11-25-35-55-77-175-275-383-385-1,915-1,925-2,681-4,213-9,575-13,405-21,065-29,491-67,025-105,325-147,455-737,275

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