Q: What are the factor combinations of the number 142,334,023?
A:
Positive:
1 x 14233402313 x 10948771
Negative:
-1 x -142334023-13 x -10948771
A:
Positive:
1 x 14233402313 x 10948771
Negative:
-1 x -142334023-13 x -10948771
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 142,334,023, 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 | 142,334,023 | |
-1 | -142,334,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 142,334,023.
Example:
1 x 142,334,023 = 142,334,023
and
-1 x -142,334,023 = 142,334,023
Notice both answers equal 142,334,023
With that explanation out of the way, let's continue. Next, we take the number 142,334,023 and divide it by 2:
142,334,023 ÷ 2 = 71,167,011.5
If the quotient is a whole number, then 2 and 71,167,011.5 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 | 142,334,023 | |
-1 | -142,334,023 |
Now, we try dividing 142,334,023 by 3:
142,334,023 ÷ 3 = 47,444,674.3333
If the quotient is a whole number, then 3 and 47,444,674.3333 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 | 142,334,023 | |
-1 | -142,334,023 |
Let's try dividing by 4:
142,334,023 ÷ 4 = 35,583,505.75
If the quotient is a whole number, then 4 and 35,583,505.75 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 | 142,334,023 | |
-1 | 142,334,023 |
If you did it right, you will end up with this table:
1 | 13 | 10,948,771 | 142,334,023 |
-1 | -13 | -10,948,771 | -142,334,023 |
Here are some more numbers to try:
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