# What is 10 5 10 4

## Divisible by 2, 4, 8 as well as 5 and 10

bettermarks »Math book» Numbers »Divisibility and prime numbers» Divisibility rules »Divisibility by 2, 4, 8 as well as 5 and 10

In these explanations you will learn how to check whether a natural number is divisible by 2, 4 or 8 or by 5, 10 or 25.

### Divisibility

A number divides a second number if dividing the second number by the first number works out without a remainder. The first number is also called the “divisor”.
2 divides 12, there
4 does not divide 9 because R 1

### Divisibility rules for 2, 5 and 10

You check the divisibility of a natural number by 2 or 5 in its last place, the ones. If this number is even (i.e. 0, 2, 4, 6 or 8), then the number is divisible by 2, otherwise not. If the last digit is 0 or 5, the number is divisible by 5, otherwise not. A number is divisible by 10 if it is divisible by 2 and 5 (2 ∙ 5 = 10), otherwise not. This is only the case for the numbers ending with 0.
Rule of divisibility for 2: A number is divisible by 2 if it is even, that is, if its last digit is 0, 2, 4, 6 or 8, otherwise not.
Divisibility rule for 5: A number is divisible by 5 if its last digit is 0 or 5, otherwise not.
Divisibility rule for 10: A number is divisible by 10 if its last digit is 0, otherwise not.
12564 is divisible by 2.
1257 is not divisible by 2.
3475 is divisible by 5.
13458 is not divisible by 5.
45890 is divisible by 10.
45895 is not divisible by 10.

### Divisibility rules for 4 and 8

You can check the divisibility of a natural number by 4 at its last two digits, the tens and ones. If these digits form a number that is divisible by 4, then the original number is divisible by 4. You can check the divisibility of a natural number by 8 at its last three digits, the hundreds, tens and ones. If these digits form a number that is divisible by 8, then the original number is divisible by 8.
Divisibility rule for 4: A number is divisible by 4 if the number formed by its two last digits is divisible by 4.
Divisibility rule for 8: A number is divisible by 8 if the number formed by its last three digits is divisible by 8.
456340 is divisible by 4.
456342 is not divisible by 4.
Is 2028 a leap year? Yes, the year 2028 is a leap year. 56320 is divisible by 8.
56325 is not divisible by 8.

### Divisibility rule for 25

You can check the divisibility of a natural number by 25 at its last two digits, the tens and ones. If the last two digits of the number are 00, 25, 50 or 75, the number is divisible by 25, otherwise not.
Divisibility rule for 25: A number is divisible by 25 if the last two digits of the number are 00, 25, 50 or 75, otherwise not.
456375 is divisible by 25.
is not divisible by 25.