Q: What are the factor combinations of the number 44,142,425?
A:
Positive:
1 x 441424255 x 882848525 x 1765697
Negative:
-1 x -44142425-5 x -8828485-25 x -1765697
A:
Positive:
1 x 441424255 x 882848525 x 1765697
Negative:
-1 x -44142425-5 x -8828485-25 x -1765697
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 44,142,425, 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 | 44,142,425 | |
-1 | -44,142,425 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 44,142,425.
Example:
1 x 44,142,425 = 44,142,425
and
-1 x -44,142,425 = 44,142,425
Notice both answers equal 44,142,425
With that explanation out of the way, let's continue. Next, we take the number 44,142,425 and divide it by 2:
44,142,425 ÷ 2 = 22,071,212.5
If the quotient is a whole number, then 2 and 22,071,212.5 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 | 44,142,425 | |
-1 | -44,142,425 |
Now, we try dividing 44,142,425 by 3:
44,142,425 ÷ 3 = 14,714,141.6667
If the quotient is a whole number, then 3 and 14,714,141.6667 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 | 44,142,425 | |
-1 | -44,142,425 |
Let's try dividing by 4:
44,142,425 ÷ 4 = 11,035,606.25
If the quotient is a whole number, then 4 and 11,035,606.25 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 | 44,142,425 | |
-1 | 44,142,425 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 1,765,697 | 8,828,485 | 44,142,425 |
-1 | -5 | -25 | -1,765,697 | -8,828,485 | -44,142,425 |
Here are some more numbers to try:
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