Table of Contents
- 1 Is a number divisible by 2 and 5 if it is divisible by 10?
- 2 Which number is divisible by 5 with no remainder?
- 3 Why does the divisibility test for 5 work?
- 4 What is the divisibility rule of 5 and 10?
- 5 What number leaves a remainder of 3 when it is divided 5?
- 6 What are the rules for divisibility by 6?
Is a number divisible by 2 and 5 if it is divisible by 10?
If a number is divisible by 10, it is also divisible by 2 and 5. For example, here is 70. 70 ends with a digit of 0. A number must end in a 0 to be divisible by 10.
Which number is divisible by 5 with no remainder?
The numbers 105, 275, 315, 420, 945, 760 can be divided by 5 evenly.
Why does the divisibility test for 5 work?
So, 50 / 5 = 10, with no remainder. The divisibility rule for 5 is true for the number 50, which ends in 0. So, 75 / 5 = 15 with no remainder. Therefore the divisibility rule for 5 is true for 75.
Which of the following is divisible by 2 and 5?
The positive integers less than 11 are 1,2,3,4,5,6,7,8,9,10 Half of them are divisible by 2 2,4,6,8,10 One fifth of them are divisible by 5 5,10 These lists both include 10 which is divisible by 2 and 5.
Which of the following is divisible by 5?
A number is divisible by 5 if its units place is 0 or 5. Consider the following numbers which are divisible by 5, using the test of divisibility by 5: 50, 75, 90, 165, 120. In 50, the unit’s place digit is 0. Hence, 50 is divisible by 5.
What is the divisibility rule of 5 and 10?
The Rule for 10: Numbers that are divisible by 10 need to be even and divisible by 5, because the prime factors of 10 are 5 and 2. Basically, this means that for a number to be divisible by 10, the last digit must be a 0.
What number leaves a remainder of 3 when it is divided 5?
Now a number when divided by 5 leaves a remainder 3. So easiest is assume the number to be 3. Next consider another number which leaves a remainder 3, when divided by 5, say 13. So we can safely generalize the answer to be 4. We know that the number leaves a remainder of 3, when it is divided by 5.
What are the rules for divisibility by 6?
Since 6 is a multiple of 2 and 3, the rules for divisibility by 6 are a combination of the rule for 2 and the rule for 3. In other words, a number passes this divisibility test only if it passes the test for 2 and the for 3. Rule: A number is divisible by 6 if it is even and if the sum of its digits is divisible by 3.
What is the divisibility rule for even numbers?
Almost everyone is familiar with this rule, which states that any even number can be divided by 2. Even numbers are multiples of 2. A number is even if it ends in 0, 2, 4, 6, or 8. Examples of numbers that are even and therefore pass this divisibility test.
What is the divisibility test for a number?
In other words, a number passes this divisibility test only if it passes the test for 2 and the for 3 . Rule: A number is divisible by 6 if it is even and if the sum of its digits is divisible by 3. Examples of numbers that are divisible by 6. Number.