Q: What are the factor combinations of the number 41,545,015?

 A:
Positive:   1 x 415450155 x 830900323 x 1806305113 x 367655115 x 361261139 x 298885529 x 78535565 x 73531695 x 597772599 x 159852645 x 157073197 x 12995
Negative: -1 x -41545015-5 x -8309003-23 x -1806305-113 x -367655-115 x -361261-139 x -298885-529 x -78535-565 x -73531-695 x -59777-2599 x -15985-2645 x -15707-3197 x -12995


How do I find the factor combinations of the number 41,545,015?

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 41,545,015, 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 41,545,015
-1 -41,545,015

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 41,545,015.

Example:
1 x 41,545,015 = 41,545,015
and
-1 x -41,545,015 = 41,545,015
Notice both answers equal 41,545,015

With that explanation out of the way, let's continue. Next, we take the number 41,545,015 and divide it by 2:

41,545,015 ÷ 2 = 20,772,507.5

If the quotient is a whole number, then 2 and 20,772,507.5 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 41,545,015
-1 -41,545,015

Now, we try dividing 41,545,015 by 3:

41,545,015 ÷ 3 = 13,848,338.3333

If the quotient is a whole number, then 3 and 13,848,338.3333 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 41,545,015
-1 -41,545,015

Let's try dividing by 4:

41,545,015 ÷ 4 = 10,386,253.75

If the quotient is a whole number, then 4 and 10,386,253.75 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 41,545,015
-1 41,545,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15231131151395295656952,5992,6453,19712,99515,70715,98559,77773,53178,535298,885361,261367,6551,806,3058,309,00341,545,015
-1-5-23-113-115-139-529-565-695-2,599-2,645-3,197-12,995-15,707-15,985-59,777-73,531-78,535-298,885-361,261-367,655-1,806,305-8,309,003-41,545,015

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