The divisors of 50 are those numbers that completely divide 50 without a remainder. In this section, we will discuss about divisors of 50.
Table of Contents
Highlights of Divisors of 50
- Divisors of 50: 1, 2, 5, 10, 25 and 50
- Negative divisors of 50: -1, -2, -5, -10, -25 and -50
- Prime divisors of 50: 2 and 5
- Number of divisors of 50: 6
- Sum of divisors of 50: 93
- Product of divisors of 50: 503
What are Divisors of 50
A number n is a divisor of 50 if $\dfrac{50}{n}$ is an integer. Note that if 50/n=m is an integer, then both m and n will be the divisors of 50.
To find the divisors of 50, we need to find the numbers n such that 50/n becomes an integer. We have:
50/1=50 | 1, 50 are divisors of 50. |
50/2=25 | 2, 25 are divisors of 50 |
50/5=10 | 5, 10 are divisors of 50 |
No numbers other than 1, 2, 5, 10, 25 and 50 can divide 50. So we conclude that
The divisors of 50 are: 1, 2, 5, 10, 25 and 50. |
Thus, the total number of divisors of 50 is six.
Negative Divisors of 50
We know that if m is a divisor of a number, then -m is also a divisor of that number. As the divisors of 50 are 1, 2, 5, 10, 25, and 50, we can say that:
The negative divisors of 50 are -1, -2, -5, -10, -25, and –50.
Prime Divisors of 50
The divisors of 50 are 1, 2, 5, 10, 25, and 50. Among these numbers, only 2 and 5 are prime numbers. So we obtain that:
The prime divisors of 50 are 2 and 5.
Video solution of Divisors of 50:
Sum, Product, Number of Divisors of 50
The prime factorization of 50 is given below.
50 = 21 × 52
(i) By the number of divisors formula, we have that the number of divisors of 50 is
=(1+1)(2+1)=2×3=6.
(ii) By the sum of divisors formula, we have that the sum of the divisors of 50 is
$=\dfrac{2^2-1}{2-1} \times \dfrac{5^3-1}{5-1}$
$=\dfrac{4-1}{1} \times \dfrac{125-1}{4}$
$=3 \times 31=93$
(iii) By the product of divisors formula, we have that the product of the divisors of 50 is
=50(Number of divisors of 50)/2
=506/2
=503
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FAQs on Divisors of 50
Answer: The divisors of 50 are 1, 2, 5, 10, 25, and 50.
Answer: The prime divisors of 50 are 2 and 5.
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