Q: What are the factor combinations of the number 40,629,995?

 A:
Positive:   1 x 406299955 x 81259997 x 580428531 x 131064535 x 1160857155 x 262129217 x 1872351085 x 37447
Negative: -1 x -40629995-5 x -8125999-7 x -5804285-31 x -1310645-35 x -1160857-155 x -262129-217 x -187235-1085 x -37447


How do I find the factor combinations of the number 40,629,995?

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 40,629,995, 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 40,629,995
-1 -40,629,995

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 40,629,995.

Example:
1 x 40,629,995 = 40,629,995
and
-1 x -40,629,995 = 40,629,995
Notice both answers equal 40,629,995

With that explanation out of the way, let's continue. Next, we take the number 40,629,995 and divide it by 2:

40,629,995 ÷ 2 = 20,314,997.5

If the quotient is a whole number, then 2 and 20,314,997.5 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 40,629,995
-1 -40,629,995

Now, we try dividing 40,629,995 by 3:

40,629,995 ÷ 3 = 13,543,331.6667

If the quotient is a whole number, then 3 and 13,543,331.6667 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 40,629,995
-1 -40,629,995

Let's try dividing by 4:

40,629,995 ÷ 4 = 10,157,498.75

If the quotient is a whole number, then 4 and 10,157,498.75 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 40,629,995
-1 40,629,995
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,08537,447187,235262,1291,160,8571,310,6455,804,2858,125,99940,629,995
-1-5-7-31-35-155-217-1,085-37,447-187,235-262,129-1,160,857-1,310,645-5,804,285-8,125,999-40,629,995

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