Algebra

# What are all the numbers less than 1000 that are divisible by 2 3 5 and 7?

123 ###### 2011-05-17 06:16:23

Check the Fibonacchi number sequences for 2, 3, 5, & 8 (7 is not a Fibonacchi number).

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## Related Questions There are 83 numbers less than 1,000 that are divisible by both three and four.  There are 90 integers less than 1,000 that are divisible by 11. There are 130 positive integers less than 1,000 that are divisible by seven but not divisible by 11 1000 &divide; 8 = 125 &rarr; largest less than 1000 divisible by 8 is 124 x 8 = 992 How many numbers less than 700 are divisible by both 15 and 21?  8 of the numbers less than 660 are divisible by 5 and 11 but not 3. All numbers divisible by 5 and 11 are multiples of their lcm; lcm(5, 11) = 55 All numbers divisibile by 5, 11 and 3 are multiples of their lcm; lcm(5, 11, 3) = 165 659 &divide; 55 = 11 54/55 &rarr; 11 numbers less than 660 are divisible by 5 and 11 659 &divide; 165 = 3 164/165 &rarr; 3 numbers less than 660 are divisible by 5, 11 and 3 &rarr; of the 11 numbers less than 660 divisible by 5 and 11, 3 are also divisible by 3 &rarr; 11 - 3 = 8 numbers less than 660 are divisible by 5 and 11 but not 3,. The numbers that are divisible by both 3 and 5 have to be a factor of 15. That leaves 15, 30, 45, 60, 75, and 90. There are 6 numbers less than 100 divisible by 3 and 5  There are 544 positive integers less than 1,000 that are either divisible by two or by 11. 51015202530354045There are nine of them evenly divisible.Actually, there are forty-nine numbers less than fifty that are divisible by five; not all of them are evenly divisible however. 14. Assuming dealing with only counting numbers (ie integers greater than 0): Numbers divisible by 5 or 7 are their multiples. 50 &divide; 5 = 10 &rarr; last multiple of 5 less than 50 is 9 x 5 &rarr; 9 numbers less than 50 are divisible by 5 50 &divide; 7 = 71/7 &rarr; last multiple of 7 less than 50 is 7 x 7 &rarr; 7 numbers less than 50 are divisible by 7 Numbers divisible by both are those which are multiples of their lowest common multiple = 35 50 &divide; 35 = 115/35 &rarr; last multiple of 35 less than 50 is 1 x 35 &rarr; 1 number less than 50 is divisible by both 5 and 7 and needs to be removed from both the above counts. &rarr; (9 - 1) + (7 - 1) = 14 numbers less than 50 are divisible by 5 or 7 but not both. If there is no restriction on numbers being greater than 0, there are infinitely many numbers as it includes the infinite number of negative numbers which are all less than 50 and provide an infinite number of numbers divisible by 5 or 7 but not both. There are 8 odd numbers less than 50 that are divisible by 3 They are 3, 9, 15, 21, 27, 33, 39, and 45.  They are all the numbers divisible by 2 with no remainder There are 168 prime numbers less than 1,000.   There are multiple numbers which meet this criteria. 71,73,74,75,77,78,79,81,82,83,85,86,87,89,91,93,94,95,97,98 &amp; 99. Just 7. Any other number divisible by 7 isn't prime. Every number that's less than 1,000 but not less than 999.95 would do that. There are an infinite number of them. There are 278 5-digit numbers less than 20,000 that are divisible by both four and nine. Perfect squares have an odd number of factors. There are 31 perfect squares less than 1000. Literally every single even number less than 1000 is a composite number other than 2 which is prime.

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