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How do you know when you have found the longest string of factors for a number?
When all the factors are prime.
Would you rather find all the factors of a number or find all the prime factors of a number?
Once all the prime factors of a number have been found, the number of factors the number has and what they are can be found. I'd be finding the prime factors first before finding all the factors of a number, so I'd rather find all the prime factors as it means I can stop before I have to do more work in finding all the factors.
What number has 6 factors all of which are odd?
45
What are the factors of this non rectangular number?
Well, honey, the factors of a non-rectangular number are simply the numbers that can be multiplied together to give you that number. So, grab a calculator and start dividing that number by every integer smaller than it until you've found all the factors. And remember, math doesn't have to be a square to be interesting!
Which number has an odd number of different factors?
All square numbers have an odd number of factors.
