Q: What are the factor combinations of the number 106,807,075?

 A:
Positive:   1 x 1068070755 x 2136141519 x 562142525 x 427228371 x 150432595 x 1124285355 x 300865475 x 2248571349 x 791751775 x 601733167 x 337256745 x 15835
Negative: -1 x -106807075-5 x -21361415-19 x -5621425-25 x -4272283-71 x -1504325-95 x -1124285-355 x -300865-475 x -224857-1349 x -79175-1775 x -60173-3167 x -33725-6745 x -15835


How do I find the factor combinations of the number 106,807,075?

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 106,807,075, 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.

1 106,807,075
-1 -106,807,075

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 106,807,075.

Example:
1 x 106,807,075 = 106,807,075
and
-1 x -106,807,075 = 106,807,075
Notice both answers equal 106,807,075

With that explanation out of the way, let's continue. Next, we take the number 106,807,075 and divide it by 2:

106,807,075 ÷ 2 = 53,403,537.5

If the quotient is a whole number, then 2 and 53,403,537.5 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:

1 106,807,075
-1 -106,807,075

Now, we try dividing 106,807,075 by 3:

106,807,075 ÷ 3 = 35,602,358.3333

If the quotient is a whole number, then 3 and 35,602,358.3333 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:

1 106,807,075
-1 -106,807,075

Let's try dividing by 4:

106,807,075 ÷ 4 = 26,701,768.75

If the quotient is a whole number, then 4 and 26,701,768.75 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:

1 106,807,075
-1 106,807,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15192571953554751,3491,7753,1676,74515,83533,72560,17379,175224,857300,8651,124,2851,504,3254,272,2835,621,42521,361,415106,807,075
-1-5-19-25-71-95-355-475-1,349-1,775-3,167-6,745-15,835-33,725-60,173-79,175-224,857-300,865-1,124,285-1,504,325-4,272,283-5,621,425-21,361,415-106,807,075

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