What Are The 10 Divisibility Rules?

by | Last updated on January 24, 2024

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The divisibility rule for 10 states that any number whose last digit is zero, then the number I divisible by 10 . For example, The numbers: 30, 50, 8000, 20 33000 are divisible by 10.

What are the divisibility rules from 1 to 10?

  • Rule for 1. If the number is a number.
  • Rule for 2. If the digit ends in 0, 2, 4, 6, or 8.
  • Rule for 3. If the sum of the digits in the number is divisible by 3.
  • Rule for 4. If the last two digits of the number is divisible by 4.
  • Rule for 5. If the number ends in 0 or 5.
  • Rule for 6. ...
  • Rule for 7. ...
  • Rule for 8.

What is the divisibility rule of 2 to 11?

Here an easy way to test for divisibility by 11. Take the alternating sum of the digits in the number, read from left to right . If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11.

What is the divisibility rule of 2 with example?

The divisibility rule for two states that any number with the last digit of 0, 2, 4, 6, or 8 will be divisible by 2 . Simply put, any even number is divisible by 2. If the number is not an even number, it is not divisible by two.

What are the divisibility rules?

  1. Any integer (not a fraction) is divisible by 1.
  2. The last digit is even (0,2,4,6,8) ...
  3. The sum of the digits is divisible by 3. ...
  4. The last 2 digits are divisible by 4. ...
  5. The last digit is 0 or 5. ...
  6. Is even and is divisible by 3 (it passes both the 2 rule and 3 rule above)

What is the 7 divisibility rule?

Divisor Divisibility condition Examples 7 Subtracting 2 times the last digit from the rest gives a multiple of 7. (Works because 21 is divisible by 7.) 483: 48 − (3 × 2) = 42 = 7 × 6. Subtracting 9 times the last digit from the rest gives a multiple of 7. 483: 48 − (3 × 9) = 21 = 7 × 3.

What is the 8 divisibility rule?

According to the divisibility rule of 8, if the last three digits of a given number are zeros or if the number formed by the last three digits is divisible by 8, then such a number is divisible by 8 . For example, in 4832, the last three digits are 832, which is divisible by 8.

What are the divisibility rules for 2 3 5 and 10?

Here are the rules to test divisibility by 2, 3, 5 and 10. A number is divisible by 2 if it ends in 0, 2, 4, 6 or 8 . This means that it is even. 3044 is therefore not divisible by 3, because 11 is not divisible by 3.

What is the divisibility rule of 7 and 11?

Divisibility by 7 and 11. 7 is Divisible by taking the last digit of the number, doubling it and then subtracting the doubled number from the remaining number . If the number is evenly divisible by seven, the number is divisible by seven!

What are the divisibility rules for 2 10?

Divisibility Rules for Numbers 2, 3, 4, 5, 6, 9 and 10. A number is divisible by 2 if the last digit of the number is 0, 2, 4, 6, or 8 .

What are the factors of 11?

The factors of 11 are 1 and 11 . As 1 ×11 is 11 and 11 × 1 is also 11. The number 11 is a prime number. A prime number has only two factors, 1 and the number itself.

What are the numbers divisible by 11?

Consider the following numbers which are divisible by 11, using the test of divisibility by 11: (i) 154, (ii) 814, (iii) 957, (iv) 1023, (v) 1122, (vi) 1749, (vii) 53856 , (viii) 592845, (ix) 5048593, (x) 98521258. -1 is divisible by 11.

Which number is exactly divisible by 11?

Solution : A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11. Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.

What is the rule for 2?

The Rule for 2 : Any whole number that ends in 0, 2, 4, 6, or 8 will be divisible by 2 . This is the number four hundred fifty-six thousand, seven hundred ninety-one, eight hundred twenty-four. We can tell if 2 divides into this number without a remainder by just looking at the last digit.

What are the divisibility of 2?

Divisibility by 2, 4, and 8

All even numbers are divisible by 2 . Therefore, a number is divisible by 2 if it has a 0, 2, 4, 6, or 8 in the ones place. For example, 54 and 2,870 are divisible by 2, but 2,221 is not divisible by 2. A number is divisible by 4 if its last two digits are divisible by 4.

Is a number divisible by 3?

According to the divisibility rule of 3, a number is said to be divisible by 3 if the sum of all digits of that number is divisible by 3 . For example, the number 495 is exactly divisible by 3. The sum of all digits are 4 + 9 + 5 = 18 and 18 is exactly divided by 3.

Amira Khan
Author
Amira Khan
Amira Khan is a philosopher and scholar of religion with a Ph.D. in philosophy and theology. Amira's expertise includes the history of philosophy and religion, ethics, and the philosophy of science. She is passionate about helping readers navigate complex philosophical and religious concepts in a clear and accessible way.