Q: What are the factor combinations of the number 814,775?

 A:
Positive:   1 x 8147755 x 16295513 x 6267523 x 3542525 x 3259165 x 12535109 x 7475115 x 7085299 x 2725325 x 2507545 x 1495575 x 1417
Negative: -1 x -814775-5 x -162955-13 x -62675-23 x -35425-25 x -32591-65 x -12535-109 x -7475-115 x -7085-299 x -2725-325 x -2507-545 x -1495-575 x -1417


How do I find the factor combinations of the number 814,775?

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 814,775, 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.

1 814,775
-1 -814,775

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 814,775.

Example:
1 x 814,775 = 814,775
and
-1 x -814,775 = 814,775
Notice both answers equal 814,775

With that explanation out of the way, let's continue. Next, we take the number 814,775 and divide it by 2:

814,775 ÷ 2 = 407,387.5

If the quotient is a whole number, then 2 and 407,387.5 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:

1 814,775
-1 -814,775

Now, we try dividing 814,775 by 3:

814,775 ÷ 3 = 271,591.6667

If the quotient is a whole number, then 3 and 271,591.6667 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:

1 814,775
-1 -814,775

Let's try dividing by 4:

814,775 ÷ 4 = 203,693.75

If the quotient is a whole number, then 4 and 203,693.75 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:

1 814,775
-1 814,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15132325651091152993255455751,4171,4952,5072,7257,0857,47512,53532,59135,42562,675162,955814,775
-1-5-13-23-25-65-109-115-299-325-545-575-1,417-1,495-2,507-2,725-7,085-7,475-12,535-32,591-35,425-62,675-162,955-814,775

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