Question

Which of the following numbers are prime:

$$\begin{gathered} \left(a\right)701 \\ \left(b\right)1009 \\ \left(c\right)1949 \\ \left(d\right)1951 \end{gathered}$$

Short answer

All the given numbers are prime.

Step-by-step solution

Determine whether 701 is prime or not

Write the divisors of 701 as follows:

$701=1\times 701$

Since the divisor of 710 is 1 and the number itself, this implies that 701 is prime.

Determine whether 1009 is prime or not

Write the divisors of 1009 asfollows:

$1009=1\times 1009$

Since the divisor of 1009 is 1 and the number itself, this implies that 1009 is prime.

Determine whether 1949 is prime or not

Write the divisors of 1949 as follows:

$1949=1\times 1949$

Since the divisor of 1949 is 1 and the number itself, this implies that 1949 is prime.

Determine whether 1951 is prime or not

Write the divisors of 1951 as follows:

$1951=1\times 1951$

Since the divisor of 1951 is 1 and the number itself, this implies that 1951 is prime.