Q: What are the factor combinations of the number 48,002,407?
A:
Positive:
1 x 4800240717 x 2823671
Negative:
-1 x -48002407-17 x -2823671
A:
Positive:
1 x 4800240717 x 2823671
Negative:
-1 x -48002407-17 x -2823671
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 48,002,407, it is easier to work with a table - it's called factoring from the outside in.
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 | 48,002,407 | |
-1 | -48,002,407 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 48,002,407.
Example:
1 x 48,002,407 = 48,002,407
and
-1 x -48,002,407 = 48,002,407
Notice both answers equal 48,002,407
With that explanation out of the way, let's continue. Next, we take the number 48,002,407 and divide it by 2:
48,002,407 ÷ 2 = 24,001,203.5
If the quotient is a whole number, then 2 and 24,001,203.5 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 | 48,002,407 | |
-1 | -48,002,407 |
Now, we try dividing 48,002,407 by 3:
48,002,407 ÷ 3 = 16,000,802.3333
If the quotient is a whole number, then 3 and 16,000,802.3333 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 | 48,002,407 | |
-1 | -48,002,407 |
Let's try dividing by 4:
48,002,407 ÷ 4 = 12,000,601.75
If the quotient is a whole number, then 4 and 12,000,601.75 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 | 48,002,407 | |
-1 | 48,002,407 |
If you did it right, you will end up with this table:
1 | 17 | 2,823,671 | 48,002,407 |
-1 | -17 | -2,823,671 | -48,002,407 |
Here are some more numbers to try:
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