Q: What are the factor combinations of the number 740,485?

 A:
Positive:   1 x 7404855 x 14809723 x 3219547 x 15755115 x 6439137 x 5405235 x 3151685 x 1081
Negative: -1 x -740485-5 x -148097-23 x -32195-47 x -15755-115 x -6439-137 x -5405-235 x -3151-685 x -1081


How do I find the factor combinations of the number 740,485?

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 740,485, 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.

1 740,485
-1 -740,485

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 740,485.

Example:
1 x 740,485 = 740,485
and
-1 x -740,485 = 740,485
Notice both answers equal 740,485

With that explanation out of the way, let's continue. Next, we take the number 740,485 and divide it by 2:

740,485 ÷ 2 = 370,242.5

If the quotient is a whole number, then 2 and 370,242.5 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:

1 740,485
-1 -740,485

Now, we try dividing 740,485 by 3:

740,485 ÷ 3 = 246,828.3333

If the quotient is a whole number, then 3 and 246,828.3333 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:

1 740,485
-1 -740,485

Let's try dividing by 4:

740,485 ÷ 4 = 185,121.25

If the quotient is a whole number, then 4 and 185,121.25 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:

1 740,485
-1 740,485
Keep dividing by the next highest number until you cannot divide anymore.

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

1523471151372356851,0813,1515,4056,43915,75532,195148,097740,485
-1-5-23-47-115-137-235-685-1,081-3,151-5,405-6,439-15,755-32,195-148,097-740,485

More Examples

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