Advertisements
Advertisements
Question
Without making any actual division, show that 2300023 is divisible by 23.
Advertisements
Solution
2300023 = 2300000 + 23
= 23 x (100000 + 1)
= 23 x 100001
Clearly, 2300023 is divisible by 23.
APPEARS IN
RELATED QUESTIONS
Write all the factors of: 21
Write all the factors of: 64
Write the first six multiples of: 16
Write two numbers which differ by 3 and whose product is 54.
Without making any actual division, show that each of the following numbers is divisible by 11.
11000011
Find whether the following number is divisible by 2: 352
Find whether the following number is divisible by 4: 222
Find whether the following number is divisible by 3: 543
Find whether the following number is divisible by 3: 28492
Find whether the following number is divisible by 9: 200314
Find whether the following number is divisible by 10: 847
Find whether the following number is divisible by 10: 8976
Find whether the following number is divisible by 11: 10857
Find whether the following number is divisible by 15: 8295
In the following number, replace M by the smallest number to make resulting number divisible by 9: 76M91
In the following number, replace M by the smallest number to make resulting number divisible by 11: 70975M
State, true or false:
If a number is divisible by 18, it is divisible by 3 and 6
Define: (i) factor (ii) multiple. Give five examples of each.
Write down the factors of 36.
Write the first five multiples of the following number:
70
Write the factors of the following number.
8
Write five three-digit numbers that are multiples of 5.
Write down the first 5 multiples of the given number.
9
The steps on which the cat jumps - ____________
Throw two dice together. What are the numbers that turn up on the faces of the dice? Make a two-digit number using them. If it is a multiple of any of the numbers written next to the circles, you can write it in that circle. Then it is your friend’s turn. The one who can write more numbers in 10 rounds is the winner.
Hint: I have 3 and 2 on my dice. If I make 23, it is not the multiple of any of the numbers. So I will make 32, which is a multiple of 4, and write it in the red circle.
Look at the factor tree. Now you can make another tree like this?
In how many ways can you draw a factor tree for 24? Draw three of them below.
Manoj had made a new house. He wants to lay tiles on the floor. The size of the room is 9 feet × 12 feet. In the market, there are three kinds of square tiles: 1 foot × 1 foot, 2 feet × 2 feet and 3 feet × 3 feet. Which size of tile should he buy for his room, so that he can lay it without cutting?
Rani, Geetha, and Naseema live near each other. The distance from their house to the road is 90 feet. They decided to tile the path to the road. They all bought tiles of different designs and lengths. Rani the shortest tile, Geetha bought the one and Naseema bought the longest one. If they could tile the path without cutting any of the tiles what is the size of the tiles each has bought? Suggest 3 different solutions. Explain how you get this answer.
Write all the factors of the following number.
20
