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[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.
How do you find three pairs of numbers for which the least common multiple equals the product of the two numbers?
Pick pairs of prime numbers. Pick any pairs of prime numbers.
What type of numbers have 2 factor pairs?
Squares of prime numbers, among others.
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
Which pairs in part a-d is the least common multiple the product of the two numbers?
The pairs that are relatively prime.
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.
Are numbers travel in pairs called factors?
Yes. Factors are numbers that multiply to create a product.
What two pairs of numbers whose LCM is the product of the numbers?
4 and 9 11 and 12
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
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.
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
