What are the two prime numbers that, when multiplied together, yield the number 143?

What are the two prime numbers that, when multiplied together, yield the number 143?

• A. 7 and 19
• B. 11 and 13
• C. 3 and 47
• D. 5 and 29

Answer: (B)

To determine the prime numbers that multiply to yield 143, we need to factor the number. Starting with the options provided, we check each pair of numbers to see if their product equals 143. When examining the pair of 11 and 13, we perform the multiplication: 11 × 13 = 143 This confirms that 11 and 13 are indeed prime factors of 143, as both numbers are prime (they have no divisors other than 1 and themselves), and their multiplication correctly produces 143. For thoroughness, examining the other pairs shows that none of those combinations successfully yield 143 through multiplication, making 11 and 13 the correct choice. Prime factorization is fundamental in number theory, particularly for determining products and understanding integer properties, and 11 and 13 exemplify this concept perfectly as the prime factors of 143.

To determine the prime numbers that multiply to yield 143, we need to factor the number. Starting with the options provided, we check each pair of numbers to see if their product equals 143.

When examining the pair of 11 and 13, we perform the multiplication:

11 × 13 = 143

This confirms that 11 and 13 are indeed prime factors of 143, as both numbers are prime (they have no divisors other than 1 and themselves), and their multiplication correctly produces 143.

For thoroughness, examining the other pairs shows that none of those combinations successfully yield 143 through multiplication, making 11 and 13 the correct choice. Prime factorization is fundamental in number theory, particularly for determining products and understanding integer properties, and 11 and 13 exemplify this concept perfectly as the prime factors of 143.