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How are odd and even numbers are related to their factors?
Even numbers must have 2 amongst their factors; they may have other even numbers amongst their factors. Odd numbers must not; every factor of an odd number must be odd.
How many ways can the whole number 50 be expressed as the sum of three different prime numbers?
Look at the first 2 of these prime numbers. They cannot be even for then they would be divisible by 2, so not prime. Add them together. Two odd numbers added together make an even. Subtract this even number from 50 (also even) so the third number must be even. There is no way of adding 3 prime numbers together to make an even number.
Why is two even numbers or two odd numbers even because 2 is a even number?
When adding two numbers together it must be divisible by two. Being divisible by two is the definition of an even number.
What negative numbers add together to get negative 18 and multiply to get negative 63?
81
Why when every three consecutive number are being multiplied it gives you an answer which is an even number?
Any two consecutive numbers must comprise one odd and one even number, so their product must be even. Any three consecutive numbers must include two consecutive numbers so the result still applies.
