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Can you find numbers less than 200 that is divisible by four different prime numbers why or why not? Answer really descriptively and plz don't joke around answer as soon as possible it is due on 11/21/07

2007-11-20 09:18:29 · 5 answers · asked by Anonymous Girl 2 in Science & Mathematics Mathematics

5 answers

OK

The answer is no - it is not possible. Reason:

The four lowest prime numbers are 2,3,5,7.

2x3x5x7 = 210 and 210 is larger than 200. You cannot have a number, less than 210, that is divisible by 4 DIFFERENT prime numbers.

Hope that helps.

2007-11-20 09:25:10 · answer #1 · answered by pyz01 7 · 0 1

A number that is divisible by 4 different prime numbers. Well, let's take the 4 lowest prime numbers:

2, 3, 5, and 7

2*3*5*7 = 210

Since the product of the 4 smallest prime numbers is 210, it is not possible to have a number less than 200 that is divisible by 4 different prime numbers.

Hope this makes sense :) Best of luck!

2007-11-20 09:24:25 · answer #2 · answered by disposable_hero_too 6 · 1 0

No. The smallest integer divisible by 3 different
odd primes is 3*5*7= 105, and so the smallest
integer divisible by 4 different primes is 2*3*5*7 = 210.

2007-11-20 09:25:47 · answer #3 · answered by steiner1745 7 · 0 0

No

the 4 lowest prime numbers are
2; 3; 5;7
their products = 2*3*5*7 = 210 > 200

This means that the lowest number that is divisible by 4 different prime numbers is = 210

2007-11-20 09:23:08 · answer #4 · answered by Any day 6 · 0 0

look at the first real prime numbers,

2, 3, 5, and 7

when you multiply these together you get

2 x 3 = 6 x 5 = 30 x 7 = 210

so, your answer is no

But, it could be true only if you recognize the number 1 as a prime number

then it would be 1 x 2 =2 x 3 = 6 x 5 = 30

given this your deside, do you think the number 1 is prime.

2007-11-20 09:29:11 · answer #5 · answered by Brad K 2 · 1 0

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