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How many positive integers less than 20 are either a multipl 24 Mar 2022, 16:16
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prayagpurohit
isn't 0 a multiple of every number? Would this property change the answer?
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Hi prayagpurohit,

The number 0 is what's called a 'null value' - it's neither positive nor negative. Since the prompt asks us to consider ONLY positive integers, the number 0 has no impact on the question that is asked.

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How many positive integers less than 20 are either a multipl 04 Feb 2024, 06:37
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Isn't zero a multiple of all numbers?

Im getting {10 ; 0.2.4.6.8.10....18} +{1;9}+{5; 11,13,15,17,19} = 16 as ans

Can someone explain?
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How many positive integers less than 20 are either a multipl 04 Feb 2024, 06:43
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skmaan
Isn't zero a multiple of all numbers?

Im getting {10 ; 0.2.4.6.8.10....18} +{1;9}+{5; 11,13,15,17,19} = 16 as ans

Can someone explain?
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0 is a multiple of every iteger, yes but it's not a positive integer. Check the stem: How many positive integers less than 20...
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How many positive integers less than 20 are either a multipl 20 Oct 2024, 06:25
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Zero is not a positive multiple of any number. It is neither positive nor negative.

prayagpurohit
isn't 0 a multiple of every number? Would this property change the answer?
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How many positive integers less than 20 are either a multipl 14 Apr 2025, 10:02
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i) (20-1)/2 = 9 multiples of 2 excluding 20(as question demands <20) --- (9)
ii) multiples of 9 = 19/9 = 2 i.e. 9 and 18. odd multiple is 9. --- (1)
iii) the sum of a positive multiple of 2 and a positive multiple of 9 - Concentrate on multiples of 9 as they are only 9 or 18. Multiples of 2 are 2, 4, 6, 8, 10...
18 case : 18+2 is 20 not less than 20 so rule out all other---(0)
9 case: 9+2=11, 9+4=13, 9+6=15, 9+8 = 17, 9+10=19 are smaller than 20 -----(5)

total cases 9+1+0+5 = 15.
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How many positive integers less than 20 are either a multipl 24 Apr 2026, 03:11
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