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course Mth 151
7/27 12
Question: `q5.1.18 List all the factors of 172.
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Your solution:
2,86,4,43,1,172
3
Ok
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Question: `q5.1.21 divisibility of 25025 by various factors.
Explain how each divisibility test works for the number 25025.
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Your solution:
25025 is not divisible by 2 because it doesn't end in an even number.
25025 isn't divisible by 3 because the sum 2 + 5 + 0 + 2 + 5 = 14 of its digits is not divisible by 3.
25025 isn't divisible by 4 because its last two digits do not form a number divisible by 4.
25025 is divisible by 5 because its last digit is 5.
25025 isn't divisible by 6 because it isn't divisible by 2 and 3.
25025 isn't divisible by 8 because its last three digits do not form a number divisible by 8.
25025 isn't divisible by 9 because the sum 2 + 5 + 0 + 2 + 5 = 14 of its digits is not divisible by 9.
25025 isn't divisible by 12 because it isn't divisible by both 3 and 4
3
Ok
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Question: `q5.1.33 What is the prime factorization of 360 and how did you get it?
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Your solution:
It follows that 360 = 2 * 2 * 2 * 3 * 3 * 5, as can be easily checked by multiplication.
3
Ok
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Question: `q5.1.60 number of divisors of 2^4*3^4*5^2
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Your solution:
4,4,2
3
Ok
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