Q: What are the factor combinations of the number 743,281?

 A:
Positive:   1 x 7432817 x 10618311 x 6757149 x 1516977 x 9653197 x 3773343 x 2167539 x 1379
Negative: -1 x -743281-7 x -106183-11 x -67571-49 x -15169-77 x -9653-197 x -3773-343 x -2167-539 x -1379


How do I find the factor combinations of the number 743,281?

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 743,281, 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.

1 743,281
-1 -743,281

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 743,281.

Example:
1 x 743,281 = 743,281
and
-1 x -743,281 = 743,281
Notice both answers equal 743,281

With that explanation out of the way, let's continue. Next, we take the number 743,281 and divide it by 2:

743,281 ÷ 2 = 371,640.5

If the quotient is a whole number, then 2 and 371,640.5 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:

1 743,281
-1 -743,281

Now, we try dividing 743,281 by 3:

743,281 ÷ 3 = 247,760.3333

If the quotient is a whole number, then 3 and 247,760.3333 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:

1 743,281
-1 -743,281

Let's try dividing by 4:

743,281 ÷ 4 = 185,820.25

If the quotient is a whole number, then 4 and 185,820.25 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:

1 743,281
-1 743,281
Keep dividing by the next highest number until you cannot divide anymore.

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

171149771973435391,3792,1673,7739,65315,16967,571106,183743,281
-1-7-11-49-77-197-343-539-1,379-2,167-3,773-9,653-15,169-67,571-106,183-743,281

More Examples

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