Q: What are the factor combinations of the number 673,546,015?

 A:
Positive:   1 x 6735460155 x 134709203827 x 8144454135 x 162889
Negative: -1 x -673546015-5 x -134709203-827 x -814445-4135 x -162889


How do I find the factor combinations of the number 673,546,015?

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 673,546,015, 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.

1 673,546,015
-1 -673,546,015

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 673,546,015.

Example:
1 x 673,546,015 = 673,546,015
and
-1 x -673,546,015 = 673,546,015
Notice both answers equal 673,546,015

With that explanation out of the way, let's continue. Next, we take the number 673,546,015 and divide it by 2:

673,546,015 ÷ 2 = 336,773,007.5

If the quotient is a whole number, then 2 and 336,773,007.5 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:

1 673,546,015
-1 -673,546,015

Now, we try dividing 673,546,015 by 3:

673,546,015 ÷ 3 = 224,515,338.3333

If the quotient is a whole number, then 3 and 224,515,338.3333 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:

1 673,546,015
-1 -673,546,015

Let's try dividing by 4:

673,546,015 ÷ 4 = 168,386,503.75

If the quotient is a whole number, then 4 and 168,386,503.75 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:

1 673,546,015
-1 673,546,015
Keep dividing by the next highest number until you cannot divide anymore.

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

158274,135162,889814,445134,709,203673,546,015
-1-5-827-4,135-162,889-814,445-134,709,203-673,546,015

More Examples

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