Q: What are the factor combinations of the number 722,995?

 A:
Positive:   1 x 7229955 x 1445997 x 10328513 x 5561535 x 2065749 x 1475565 x 1112391 x 7945227 x 3185245 x 2951455 x 1589637 x 1135
Negative: -1 x -722995-5 x -144599-7 x -103285-13 x -55615-35 x -20657-49 x -14755-65 x -11123-91 x -7945-227 x -3185-245 x -2951-455 x -1589-637 x -1135


How do I find the factor combinations of the number 722,995?

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 722,995, 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.

1 722,995
-1 -722,995

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 722,995.

Example:
1 x 722,995 = 722,995
and
-1 x -722,995 = 722,995
Notice both answers equal 722,995

With that explanation out of the way, let's continue. Next, we take the number 722,995 and divide it by 2:

722,995 ÷ 2 = 361,497.5

If the quotient is a whole number, then 2 and 361,497.5 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:

1 722,995
-1 -722,995

Now, we try dividing 722,995 by 3:

722,995 ÷ 3 = 240,998.3333

If the quotient is a whole number, then 3 and 240,998.3333 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:

1 722,995
-1 -722,995

Let's try dividing by 4:

722,995 ÷ 4 = 180,748.75

If the quotient is a whole number, then 4 and 180,748.75 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:

1 722,995
-1 722,995
Keep dividing by the next highest number until you cannot divide anymore.

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

15713354965912272454556371,1351,5892,9513,1857,94511,12314,75520,65755,615103,285144,599722,995
-1-5-7-13-35-49-65-91-227-245-455-637-1,135-1,589-2,951-3,185-7,945-11,123-14,755-20,657-55,615-103,285-144,599-722,995

More Examples

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