Q: What are the factor combinations of the number 41,462,375?

 A:
Positive:   1 x 414623755 x 829247525 x 1658495125 x 331699409 x 101375811 x 511252045 x 202754055 x 10225
Negative: -1 x -41462375-5 x -8292475-25 x -1658495-125 x -331699-409 x -101375-811 x -51125-2045 x -20275-4055 x -10225


How do I find the factor combinations of the number 41,462,375?

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 41,462,375, 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 41,462,375
-1 -41,462,375

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 41,462,375.

Example:
1 x 41,462,375 = 41,462,375
and
-1 x -41,462,375 = 41,462,375
Notice both answers equal 41,462,375

With that explanation out of the way, let's continue. Next, we take the number 41,462,375 and divide it by 2:

41,462,375 ÷ 2 = 20,731,187.5

If the quotient is a whole number, then 2 and 20,731,187.5 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 41,462,375
-1 -41,462,375

Now, we try dividing 41,462,375 by 3:

41,462,375 ÷ 3 = 13,820,791.6667

If the quotient is a whole number, then 3 and 13,820,791.6667 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 41,462,375
-1 -41,462,375

Let's try dividing by 4:

41,462,375 ÷ 4 = 10,365,593.75

If the quotient is a whole number, then 4 and 10,365,593.75 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 41,462,375
-1 41,462,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251254098112,0454,05510,22520,27551,125101,375331,6991,658,4958,292,47541,462,375
-1-5-25-125-409-811-2,045-4,055-10,225-20,275-51,125-101,375-331,699-1,658,495-8,292,475-41,462,375

More Examples

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