Q: What are the factor combinations of the number 670,017,775?

 A:
Positive:   1 x 6700177755 x 1340035557 x 9571682525 x 2680071135 x 19143365175 x 3828673
Negative: -1 x -670017775-5 x -134003555-7 x -95716825-25 x -26800711-35 x -19143365-175 x -3828673


How do I find the factor combinations of the number 670,017,775?

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 670,017,775, 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.

1 670,017,775
-1 -670,017,775

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 670,017,775.

Example:
1 x 670,017,775 = 670,017,775
and
-1 x -670,017,775 = 670,017,775
Notice both answers equal 670,017,775

With that explanation out of the way, let's continue. Next, we take the number 670,017,775 and divide it by 2:

670,017,775 ÷ 2 = 335,008,887.5

If the quotient is a whole number, then 2 and 335,008,887.5 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:

1 670,017,775
-1 -670,017,775

Now, we try dividing 670,017,775 by 3:

670,017,775 ÷ 3 = 223,339,258.3333

If the quotient is a whole number, then 3 and 223,339,258.3333 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:

1 670,017,775
-1 -670,017,775

Let's try dividing by 4:

670,017,775 ÷ 4 = 167,504,443.75

If the quotient is a whole number, then 4 and 167,504,443.75 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:

1 670,017,775
-1 670,017,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351753,828,67319,143,36526,800,71195,716,825134,003,555670,017,775
-1-5-7-25-35-175-3,828,673-19,143,365-26,800,711-95,716,825-134,003,555-670,017,775

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