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Fundamental Theorem of Arithmetic

If 2 and 5 ar...

Question

If 2 and 5 are factors of a number, what will be the unit’s digit of that number?

A

0

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B

1

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C

2

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D

3

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Solution

The correct option is A
0

If 2 and 5 are factors, then $2 \times 5 = 10$ is also a factor.
$\Rightarrow$ the number is divisible by 10.
Therefore, unit's digit will be 0.

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Similar questions

What is the number of $3$ -digit number that can be formed using the digits $0$ , $1$ and $5$ , without repeating a digit in any number?

If 2 and 5 are factors of a number, what will be the unit’s digit of that number?

What is the total number of even non-negative integers that can be formed by using the digits 0, 1, 3, 5, 7 and 9, where repetition of digits isnotallowed?

Ans :

Number of 1-digit even numbers = 0

Number of 2-digit even numbers = 5×1 = 5

Number of 3-digit even numbers = 5×4×1 = 20

Number of 4-digit even numbers = 5×4×3×1 = 60

Number of 5-digit even numbers = 5×4×3×2×1 = 120

Number of 6-digit even numbers = 5×4×3×2×1×1 = 120

Note:Here, the units place digit is always occupied by 0.

Total number of even non-negative integers that can be formed by using digits 0, 1, 3, 5, 7 and 9, where repetition of digits is not allowed = 0 + 5 + 20 + 60 + 120 + 120 = 325

The correct answer is given by option A.

AS UNDERLINED ABOVE,0 IS AN EVEN NON NEGATIVE INTEGER.WHY AREN'T WE CONSIDERING IT

Q. The number of 5-digits numbers that can be formed using the digits 0, 1, 1, 2, 3 is

Q. The number of

4

digit numbers that can be formed with

0, 1, 2, 3, 5

which are divisible by

2

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