Q: What are the factor combinations of the number 740,831?

 A:
Positive:   1 x 7408317 x 10583313 x 5698749 x 1511991 x 8141637 x 1163
Negative: -1 x -740831-7 x -105833-13 x -56987-49 x -15119-91 x -8141-637 x -1163


How do I find the factor combinations of the number 740,831?

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 740,831, 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.

1 740,831
-1 -740,831

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 740,831.

Example:
1 x 740,831 = 740,831
and
-1 x -740,831 = 740,831
Notice both answers equal 740,831

With that explanation out of the way, let's continue. Next, we take the number 740,831 and divide it by 2:

740,831 ÷ 2 = 370,415.5

If the quotient is a whole number, then 2 and 370,415.5 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:

1 740,831
-1 -740,831

Now, we try dividing 740,831 by 3:

740,831 ÷ 3 = 246,943.6667

If the quotient is a whole number, then 3 and 246,943.6667 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:

1 740,831
-1 -740,831

Let's try dividing by 4:

740,831 ÷ 4 = 185,207.75

If the quotient is a whole number, then 4 and 185,207.75 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:

1 740,831
-1 740,831
Keep dividing by the next highest number until you cannot divide anymore.

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

171349916371,1638,14115,11956,987105,833740,831
-1-7-13-49-91-637-1,163-8,141-15,119-56,987-105,833-740,831

More Examples

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