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Q: [2] Among all of the pairs of numbers whose sum is 8, find the pair with the largest product. What is the product?
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Which of the pairs of numbers whose sum is 70 has the largest product?

35


What are all the numbers that have a product of 140?

There are infinitely many such product pairs.


What type of numbers have 2 factor pairs?

Squares of prime numbers, among others.


What are the two largest relative prime numbers?

Relatively prime numbers are numbers which share no common factors. This means the numbers are both the product of an entirely different set of prime numbers. There is no limit to the number of prime numbers. Thus there is no limit to the number of relatively prime pairs. Therefore there cannot be two "largest" relative primes.


What are some pairs of numbers such that the product of the 2 numbers is the reverse of the sum of the 2 numbers?

9-9


How do you find the largest square factor of whole numbers?

The long but fool-proof way is to find the complete prime factorisation of the number. Then group all the factors into pairs, rejecting any that cannot be paired. The product of the numbers that are left is the largest square factor.


Are numbers travel in pairs called factors?

Yes. Factors are numbers that multiply to create a product.


Write the product of each pair of numbers?

The product of two numbers is the resulting number when they are multiplied together. As there is an infinite amount of numbers it would be impossible to write out the result of the product of all pairs of numbers


What does find three pairs of numbers for which the least common multiple equals the product of the two numbers mean?

It means write down three pairs of numbers that are relatively prime like 4 and 9, 5 and 6, 13 and 25


Are there any pairs of prime numbers that when multiplied do not make their least common multiple?

The product of all pairs of prime numbers is always the least common multiple of the two prime numbers.


What are the 2 pairs of numbers whose LCM is the product of the numbers?

Any pair of prime numbers. 5 and 7 11 and 13


Is the LCM of all pairs of odd numbers sometimes or always or never their product?

Sometimes.