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What is the largest number less than 1000 which is odd leaves a remainder of 2 when divided by 3 and a remainder of 4 when divided by 5?
989. If there is a remainder of 2 when divided by 3, the number is one less than a multiple of 3. If there is a remainder of 4 when divided by 5, the number is one less than a multiple of 5. Thus the number required is one less than a multiple of the lowest common multiple of 3 and 5 (that is 15). So what is needed is an even multiple of 15 less than or equal to 1000: 1000 ÷ 15 = 662/3 Thus the highest even multiple of 15 not greater than 1000 is 66 x 15 = 990, and the required number is 989.
Prove 2a-1 is odd?
3
Given a pair of numbers how can you tell whether their least common multiple will be less than or equal to their product?
Given any number, there is an even number that exists greater than it. That even number is a product: of 2 and some number. Therefore, the number that you started with is less than the product of a pair of numbers.
What is even number less than 50?
and even # less than 50 is any number smaller than 50 ending in the number 2,4,6,8,0
An even multiple of 20 less than 300 The sum of my digits is 7 What am I?
Well, honey, you're looking for a number that's an even multiple of 20 and less than 300, with digits that add up to 7. Let me tell you, that number is 196. It fits all your criteria like a glove, so there you have it!
What number is a multiple of 15 and 25 what number is less than 200 and this number is even?
150
What is the largest number less than 1000 which is odd leaves a remainder of 2 when divided by 3 and a remainder of 4 when divided by 5?
989. If there is a remainder of 2 when divided by 3, the number is one less than a multiple of 3. If there is a remainder of 4 when divided by 5, the number is one less than a multiple of 5. Thus the number required is one less than a multiple of the lowest common multiple of 3 and 5 (that is 15). So what is needed is an even multiple of 15 less than or equal to 1000: 1000 ÷ 15 = 662/3 Thus the highest even multiple of 15 not greater than 1000 is 66 x 15 = 990, and the required number is 989.
Can every prime number except 2 must be 1 more or 1 less than a multiple of 4?
Every prime number except 2 must be odd. This is because if it were even it would be divisible by 2 and so wouldn't be a prime number. The next point to note is that all odd numbers are one more or one less than a multiple of 4. Because 2 more than a multiple of 4 is even, and 3 more than a multiple of 4 is the same as 1 less than the multiple of 4 above. Thus every prime number except 2 must be 1 more or 1 less than a multiple of 4.
What number has three digits is less than 140 has 7 for a factor is even and the sum of the three digits is less than 9?
The three digit number satisfying the requirements is 112. The three digit number must be greater than or equal to 100 and less than 140. To have 7 as a factor it must be a multiple of 7 To be even, it must be an even multiple of 7. The first even multiple of 7 greater than or equal to 100 is: 100 ÷ 7 = 14 r 2 → first even multiple is 16 × 7 = 112 The last even multiples of 7 less than 140 is: 140 ÷ 7 = 20 → last even multiple is 18 × 7 = 126 The sum of its digits must be less than 9: 112 → 1 + 1 + 2 = 4 126 → 1 + 2 + 6 = 9 → only 112 fits all the criteria.
What prime number or number less than 100 are even?
There are 49 even numbers less than 100, but only the number 2 is an even prime number less than 100.
What is a multiple of 10 includes an even and odd number and is more than 3x5 and is less than 4x7?
4 x 5
What is the sum of two even number less than thirty?
An even number less than 57.
Prove 2a-1 is odd?
3
Given a pair of numbers how can you tell whether their least common multiple will be less than or equal to their product?
Given any number, there is an even number that exists greater than it. That even number is a product: of 2 and some number. Therefore, the number that you started with is less than the product of a pair of numbers.
What is even number less than 50?
and even # less than 50 is any number smaller than 50 ending in the number 2,4,6,8,0
What is a number greater than 60 but less than 100 the number is a multiple of 4 and 6 but not a multiple of 8?
84
How many positive integers less than 60 are equal to the product of a positive multiple of 5 and an even number?
Five of them.
