Is 144 divisible by 2 3 4 5 6 9 or 10?

Answer 1

144 is divisible by 2, 3, 4, 6, 9 and not divisible by 5 or 10.

• Divisible by 2

The whole number is divisible by 2 if the number is even which is shown by the last digit being divisible by 2.

The last digit of 144 is 4 and 4 is divisible by 2, thus 144 is divisible by 2.

• Divisible by 3

The number is divisible by 3 if the sum of its digits is also divisible by 3.

Sum of the digits of 144 is 1+4+4 = 9 which is divisible by 3, thus 144 is divisible by 3

• Divisible by 4

The number is divisible by 4 is the last two digits is also divisible by 4.

Last two digits of 144 are 44 which are divisible by 4, thus 144 is divisible by 4

An alternative test: If the last digit plus twice the preceding digit is divisible by 4 then the whole number is divisible by 4.

For 144, last digit + twice preceding digit is 4+2x4 = 12 which is divisible by 4, so 144 is divisible by 4

• Divisible by 5

If the last digit is 0 or 5 then the number is divisible by 5

Last digit of 144 is 4 which is neither 0 nor 5, thus 144 is not divisible by 5

• Divisible by 6

To be divisible by 6, the number must be divisible by both of 2 and 3.

144 is divisible by both 2 and 3 (see above), thus 144 is divisible by 6

• Divisible by 9

If the sum of the digits of the number is divisible by 9, then the original number is divisible by 9.

For 144, 1+4+4 = 9 which is divisible by 9, thus 144 is divisible by 9

• Divisible by 10

To be divisible by 10, the last digit must be 0.

The last digit of 144 is 4 which is not 0, thus 144 is not divisible by 10