Q: What are the factor combinations of the number 670,055,743?

 A:
Positive:   1 x 6700557437 x 9572224941 x 1634282349 x 1367460759 x 11356877287 x 2334689413 x 16224112009 x 3335272419 x 2769972891 x 2317735653 x 11853116933 x 39571
Negative: -1 x -670055743-7 x -95722249-41 x -16342823-49 x -13674607-59 x -11356877-287 x -2334689-413 x -1622411-2009 x -333527-2419 x -276997-2891 x -231773-5653 x -118531-16933 x -39571


How do I find the factor combinations of the number 670,055,743?

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 670,055,743, 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.

1 670,055,743
-1 -670,055,743

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 670,055,743.

Example:
1 x 670,055,743 = 670,055,743
and
-1 x -670,055,743 = 670,055,743
Notice both answers equal 670,055,743

With that explanation out of the way, let's continue. Next, we take the number 670,055,743 and divide it by 2:

670,055,743 ÷ 2 = 335,027,871.5

If the quotient is a whole number, then 2 and 335,027,871.5 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:

1 670,055,743
-1 -670,055,743

Now, we try dividing 670,055,743 by 3:

670,055,743 ÷ 3 = 223,351,914.3333

If the quotient is a whole number, then 3 and 223,351,914.3333 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:

1 670,055,743
-1 -670,055,743

Let's try dividing by 4:

670,055,743 ÷ 4 = 167,513,935.75

If the quotient is a whole number, then 4 and 167,513,935.75 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:

1 670,055,743
-1 670,055,743
Keep dividing by the next highest number until you cannot divide anymore.

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

174149592874132,0092,4192,8915,65316,93339,571118,531231,773276,997333,5271,622,4112,334,68911,356,87713,674,60716,342,82395,722,249670,055,743
-1-7-41-49-59-287-413-2,009-2,419-2,891-5,653-16,933-39,571-118,531-231,773-276,997-333,527-1,622,411-2,334,689-11,356,877-13,674,607-16,342,823-95,722,249-670,055,743

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