Answer:
-22 = -2^1×11^1
Explanation:
Factor the following integer:
-22
Hint: | Is 22 divisible by 2?
The last digit of 22 is 2, which means it is even. Therefore 22 is divisible by 2:
22 = 2 11:
-22 = -2×11
Hint: | Now try to factor 11. Is 11 divisible by 2?
11 is not divisible by 2 since 11 is odd and 2 is even:
-22 = -2×11 (11 is not divisible by 2)
Hint: | Is 11 divisible by 3?
The sum of the digits of 11 is 1 + 1 = 2, which is not divisible by 3. This means 11 is not divisible by 3:
-22 = -2×11 (11 is not divisible by 2 or 3)
Hint: | Is 11 divisible by 5?
The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:
-22 = -2×11 (11 is not divisible by 2, 3 or 5)
Hint: | Is 11 divisible by 7?
Divide 7 into 11:
| | 1 | (quotient)
7 | 1 | 1 |
- | | 7 |
| | 4 | (remainder)
11 is not divisible by 7:
-22 = -2×11 (11 is not divisible by 2, 3, 5 or 7)
Hint: | Is 11 prime?
No primes less than 11 divide into it. Therefore 11 is prime:
-22 = -2×11
Hint: | Express -22 as a product of prime powers.
There is 1 copy of 2 and 1 copy of 11 in the product:
Answer: -22 = -2^1×11^1