Last updated on May 26th, 2025
What's your say about the factors of 1024? Factors are essentially the numbers that can be multiplied together to give an original number. In other words, finding those perfect pairs that go into making 1024 without leaving a remainder.
Similarly, as we learned above, factors of 1024 are such numbers that will be multiplied to get 1024. There are both positive and negative factors of numbers that we will learn as we move ahead in the topic.
1024 has only 11 factors: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512 and 1024.
Negative factors of 1024: Negative factors are nothing but the negative counterparts of the position factors of a number.
Since 1024 has 11 positive factors: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, and 1024, it will also have 11 negative counterparts, which are -1, -2, -4, -8, -16, -32, -64, -128,- 256, -512 and -1024.
Prime factors of 1024: Since 1024 is a composite number, it has 2 as its prime factor.
Prime factorization of 1024: Prime factorization of a number is the method of expressing 1024 as a product of prime factors.
The prime factorization of 1024 = 210
There are several ways of finding factors of 1024. We will learn about them one by one as we go on.
In this method, we will try to find such a pair of numbers that will give 1024 as their product. We recommend that you should follow the following steps to find factors using multiplication.
Step 1: Always look for a pair of numbers whose product is 1024.
Step 2: After finding such pairs, list them all one by one.
Here, factor pairs of 1024 are (1, 1024), (2, 512), (4, 256), (8, 128), (16, 64), (32, 32)
So the factors of 1024 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, and 1024.
In the method, we need to find such numbers that divide 1024 completely without leaving any remainder.
1024/1 = 1024
1024/ 2 = 512
1024/ 4 = 256
1024/ 8 = 128
1024/ 16 = 64
1024/ 32 = 32
1024/ 64 = 16
1024/ 128 = 8
1024/ 256 = 4
1024/ 512= 2
1024/ 1024 = 1
All the 11 numbers: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, and 1024 mentioned above divide 1024 completely without any remainder. Hence, they are factors of 1024.
In the prime factorization method, a number is expressed as the product of prime factors.
Here, as we know, 1024 = 210
2 is the prime factor when multiplied 10 times will give 1024 as a product of prime numbers.
A factor tree is a graphical representation of factors of any number. In the diagram, each branch represents the prime factors a number has.
The factor pairs of a number refer to a pair of numbers which, when multiplied, will give the number as a product.
The factor pairs of 1024 are
Positive Pair Factors of 1024 are (1, 1024), (2, 512), (4, 256), (8, 128), (16, 64), (32, 32)
Negative Pair Factors of 1024 are (-1, -1024), (-2, -512), (-4, -256), (-8, -128), (-16, -64), (-32, -32)
There are some errors which a child is bound to commit while discovering the factors of 1024. Let us know what error a child is likely to commit.
Can you prove that 16 is also a factor of 1024 by using the divisibility rule of 2 ?
Yes, we can prove 16 is a factor of 1024.
We have studied that 1024 = 2^10 and 16 = 24. Since, 210 also contains 24 in it, 2^4 is a factor of 210 or 16 is a factor of 1024
If you have 1024 chocolates, and you have 32 friends to distribute among , how many shall each one get ?
Each friend shall get 32 chocolates.
Divide 1024 by 32 to get 32. The result 32 are chocolates that each one shall get.
How many factors of 1024 are also the factors of 2048?
All the factors of 1024 are the factors of 2048.
We know that 1024 is 210 and 2048 is 211. Since 210 lies inside 211, all the factors of 210 (1024) are factors of 211 (2048).
Is there any remainder that gets left behind when 1024 is divided by 8 ?
No, no remainder is left behind when 0124 is divided by 8.
Divide 1024 by 8 to get a whole number of 128. Since we are getting a whole number as a quotient, that means there is no remainder that is getting left behind
If you have 1024 square stickers, then how can you arrange them to fill up a square wall such that each side of the wall has an equal number of stickers ?
Each side should have 32 stickers to fill up the entire square wall.
The square wall shall have equal stickers on each side in order for it to be filled up completely. So to determine how many stickers shall there be on each side, you need to find the square root of 1024, i.e., 32. So, we can arrange the stickers into 32×32 square format.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.