Q: What are the factor combinations of the number 40,040,245?

 A:
Positive:   1 x 400402455 x 80080497 x 572003535 x 1144007
Negative: -1 x -40040245-5 x -8008049-7 x -5720035-35 x -1144007


How do I find the factor combinations of the number 40,040,245?

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 40,040,245, 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 40,040,245
-1 -40,040,245

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 40,040,245.

Example:
1 x 40,040,245 = 40,040,245
and
-1 x -40,040,245 = 40,040,245
Notice both answers equal 40,040,245

With that explanation out of the way, let's continue. Next, we take the number 40,040,245 and divide it by 2:

40,040,245 ÷ 2 = 20,020,122.5

If the quotient is a whole number, then 2 and 20,020,122.5 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 40,040,245
-1 -40,040,245

Now, we try dividing 40,040,245 by 3:

40,040,245 ÷ 3 = 13,346,748.3333

If the quotient is a whole number, then 3 and 13,346,748.3333 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 40,040,245
-1 -40,040,245

Let's try dividing by 4:

40,040,245 ÷ 4 = 10,010,061.25

If the quotient is a whole number, then 4 and 10,010,061.25 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 40,040,245
-1 40,040,245
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,144,0075,720,0358,008,04940,040,245
-1-5-7-35-1,144,007-5,720,035-8,008,049-40,040,245

More Examples

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