What is the base and exponent of 169?
Jessica Burns
Published Feb 26, 2026
The square root of 169 is 13. This is so because 13 times 13 gives 169 — the definition of a square root of a number k is the number such that when you multiply it by itself you get k. Note that this is a different question than solve , as this question has two answers; both 13 and -13. 13 is the principal root.
What number is 169 divisible?
169 (number)
| ← 168 169 170 → | |
|---|---|
| Cardinal | one hundred sixty-nine |
| Ordinal | 169th (one hundred sixty-ninth) |
| Factorization | 132 |
| Divisors | 1, 13, 169 |
What is the square root of 169 with solution?
13
The principal square root of 169 is 13 . The square root of 169 is a rational number because it is a perfect square — the answer has no decimals….Finding square root of 169 by factoring.
| Prime Number (n ) | 169 ÷ n | Does It Factor? |
|---|---|---|
| 11 | 15.36 | No |
| 13 | 13 | Yes! |
| 17 | 9.941 | No |
How are 169 and 1 a factor pair?
1 and 169 are a factor pair of 169 since 1 x 169= 169. 13 and 13 are a factor pair of 169 since 13 x 13= 169. 169 and 1 are a factor pair of 169 since 169 x 1= 169. Solution. Converting factors of 169. Factors are numbers that can divide without remainder.
How do you factor the expression x ^ 2-169?
How do you factor the expression x2 − 169? This is a difference of two squares so it factors as (a − b)(a +b), where a and b are the square roots of the original expression. See proofs below. Warning: Differences of squares only works when there is a minus between the two terms, and doesn’t work if it is positive.
How is 169 not a multiple of 2?
2: 169 is not even so it’s not divisible by 2. 3: 1 + 6 + 9 = 16 which is not a multiple of 3 so 169 is not divisible by 3. 5: The last digit is not 0 or 5, so 16 9 cannot be evenly divided by 5. 7: The difference between 16 and 9 x 2 is 2 which is not a divisible by 7, so 169 is not divisible by 7.
Which is not a prime number for 169?
If I didn’t recognize that 169 is a perfect square, I would apply some prime number divisibility tricks in numerical order on 169: 2: 169 is not even so it’s not divisible by 2. 3: 1 + 6 + 9 = 16 which is not a multiple of 3 so 169 is not divisible by 3. 5: The last digit is not 0 or 5, so 16 9 cannot be evenly divided by 5.
