Q: What are the factor combinations of the number 738,283?

 A:
Positive:   1 x 7382837 x 10546913 x 5679119 x 3885749 x 1506761 x 1210391 x 8113133 x 5551247 x 2989427 x 1729637 x 1159793 x 931
Negative: -1 x -738283-7 x -105469-13 x -56791-19 x -38857-49 x -15067-61 x -12103-91 x -8113-133 x -5551-247 x -2989-427 x -1729-637 x -1159-793 x -931


How do I find the factor combinations of the number 738,283?

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 738,283, 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.

1 738,283
-1 -738,283

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 738,283.

Example:
1 x 738,283 = 738,283
and
-1 x -738,283 = 738,283
Notice both answers equal 738,283

With that explanation out of the way, let's continue. Next, we take the number 738,283 and divide it by 2:

738,283 ÷ 2 = 369,141.5

If the quotient is a whole number, then 2 and 369,141.5 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:

1 738,283
-1 -738,283

Now, we try dividing 738,283 by 3:

738,283 ÷ 3 = 246,094.3333

If the quotient is a whole number, then 3 and 246,094.3333 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:

1 738,283
-1 -738,283

Let's try dividing by 4:

738,283 ÷ 4 = 184,570.75

If the quotient is a whole number, then 4 and 184,570.75 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:

1 738,283
-1 738,283
Keep dividing by the next highest number until you cannot divide anymore.

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

1713194961911332474276377939311,1591,7292,9895,5518,11312,10315,06738,85756,791105,469738,283
-1-7-13-19-49-61-91-133-247-427-637-793-931-1,159-1,729-2,989-5,551-8,113-12,103-15,067-38,857-56,791-105,469-738,283

More Examples

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