Q: What are the factor combinations of the number 709,775?

 A:
Positive:   1 x 7097755 x 14195511 x 6452525 x 2839129 x 2447555 x 1290589 x 7975145 x 4895275 x 2581319 x 2225445 x 1595725 x 979
Negative: -1 x -709775-5 x -141955-11 x -64525-25 x -28391-29 x -24475-55 x -12905-89 x -7975-145 x -4895-275 x -2581-319 x -2225-445 x -1595-725 x -979


How do I find the factor combinations of the number 709,775?

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 709,775, 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.

1 709,775
-1 -709,775

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 709,775.

Example:
1 x 709,775 = 709,775
and
-1 x -709,775 = 709,775
Notice both answers equal 709,775

With that explanation out of the way, let's continue. Next, we take the number 709,775 and divide it by 2:

709,775 ÷ 2 = 354,887.5

If the quotient is a whole number, then 2 and 354,887.5 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:

1 709,775
-1 -709,775

Now, we try dividing 709,775 by 3:

709,775 ÷ 3 = 236,591.6667

If the quotient is a whole number, then 3 and 236,591.6667 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:

1 709,775
-1 -709,775

Let's try dividing by 4:

709,775 ÷ 4 = 177,443.75

If the quotient is a whole number, then 4 and 177,443.75 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:

1 709,775
-1 709,775
Keep dividing by the next highest number until you cannot divide anymore.

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

1511252955891452753194457259791,5952,2252,5814,8957,97512,90524,47528,39164,525141,955709,775
-1-5-11-25-29-55-89-145-275-319-445-725-979-1,595-2,225-2,581-4,895-7,975-12,905-24,475-28,391-64,525-141,955-709,775

More Examples

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