Q: What are the factor combinations of the number 41,979,025?

 A:
Positive:   1 x 419790255 x 839580511 x 381627523 x 182517525 x 167916155 x 763255115 x 365035253 x 165925275 x 152651575 x 730071265 x 331856325 x 6637
Negative: -1 x -41979025-5 x -8395805-11 x -3816275-23 x -1825175-25 x -1679161-55 x -763255-115 x -365035-253 x -165925-275 x -152651-575 x -73007-1265 x -33185-6325 x -6637


How do I find the factor combinations of the number 41,979,025?

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 41,979,025, 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 41,979,025
-1 -41,979,025

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 41,979,025.

Example:
1 x 41,979,025 = 41,979,025
and
-1 x -41,979,025 = 41,979,025
Notice both answers equal 41,979,025

With that explanation out of the way, let's continue. Next, we take the number 41,979,025 and divide it by 2:

41,979,025 ÷ 2 = 20,989,512.5

If the quotient is a whole number, then 2 and 20,989,512.5 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 41,979,025
-1 -41,979,025

Now, we try dividing 41,979,025 by 3:

41,979,025 ÷ 3 = 13,993,008.3333

If the quotient is a whole number, then 3 and 13,993,008.3333 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 41,979,025
-1 -41,979,025

Let's try dividing by 4:

41,979,025 ÷ 4 = 10,494,756.25

If the quotient is a whole number, then 4 and 10,494,756.25 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 41,979,025
-1 41,979,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15112325551152532755751,2656,3256,63733,18573,007152,651165,925365,035763,2551,679,1611,825,1753,816,2758,395,80541,979,025
-1-5-11-23-25-55-115-253-275-575-1,265-6,325-6,637-33,185-73,007-152,651-165,925-365,035-763,255-1,679,161-1,825,175-3,816,275-8,395,805-41,979,025

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