Q: What are the factor combinations of the number 675,480?

 A:
Positive:   1 x 6754802 x 3377403 x 2251604 x 1688705 x 1350966 x 1125808 x 8443510 x 6754812 x 5629013 x 5196015 x 4503220 x 3377424 x 2814526 x 2598030 x 2251639 x 1732040 x 1688752 x 1299060 x 1125865 x 1039278 x 8660104 x 6495120 x 5629130 x 5196156 x 4330195 x 3464260 x 2598312 x 2165390 x 1732433 x 1560520 x 1299780 x 866
Negative: -1 x -675480-2 x -337740-3 x -225160-4 x -168870-5 x -135096-6 x -112580-8 x -84435-10 x -67548-12 x -56290-13 x -51960-15 x -45032-20 x -33774-24 x -28145-26 x -25980-30 x -22516-39 x -17320-40 x -16887-52 x -12990-60 x -11258-65 x -10392-78 x -8660-104 x -6495-120 x -5629-130 x -5196-156 x -4330-195 x -3464-260 x -2598-312 x -2165-390 x -1732-433 x -1560-520 x -1299-780 x -866


How do I find the factor combinations of the number 675,480?

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 675,480, 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.

1 675,480
-1 -675,480

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 675,480.

Example:
1 x 675,480 = 675,480
and
-1 x -675,480 = 675,480
Notice both answers equal 675,480

With that explanation out of the way, let's continue. Next, we take the number 675,480 and divide it by 2:

675,480 ÷ 2 = 337,740

If the quotient is a whole number, then 2 and 337,740 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 337,740 675,480
-1 -2 -337,740 -675,480

Now, we try dividing 675,480 by 3:

675,480 ÷ 3 = 225,160

If the quotient is a whole number, then 3 and 225,160 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 225,160 337,740 675,480
-1 -2 -3 -225,160 -337,740 -675,480

Let's try dividing by 4:

675,480 ÷ 4 = 168,870

If the quotient is a whole number, then 4 and 168,870 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 168,870 225,160 337,740 675,480
-1 -2 -3 -4 -168,870 -225,160 -337,740 675,480
Keep dividing by the next highest number until you cannot divide anymore.

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

123456810121315202426303940526065781041201301561952603123904335207808661,2991,5601,7322,1652,5983,4644,3305,1965,6296,4958,66010,39211,25812,99016,88717,32022,51625,98028,14533,77445,03251,96056,29067,54884,435112,580135,096168,870225,160337,740675,480
-1-2-3-4-5-6-8-10-12-13-15-20-24-26-30-39-40-52-60-65-78-104-120-130-156-195-260-312-390-433-520-780-866-1,299-1,560-1,732-2,165-2,598-3,464-4,330-5,196-5,629-6,495-8,660-10,392-11,258-12,990-16,887-17,320-22,516-25,980-28,145-33,774-45,032-51,960-56,290-67,548-84,435-112,580-135,096-168,870-225,160-337,740-675,480

More Examples

Here are some more numbers to try:

675,478675,479675,481675,482
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