231 LearnersLast updated on May 26th, 2025
Factors of 640
Factors are the ‘building blocks’ of a number. They are the numbers that can be multiplied together to reach the number you started with. 640 is not an interesting number. It is large enough to make you think, but simple enough to learn if you know a few tricks. Let’s dive into it!
What are the factors of 640?
Factors are whole numbers that, when multiplied, the product is equal to 640.
640 is not a prime number, its only factors are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640. For every factor, there is not a corresponding negative factor, for 640, the negative factors are
-1,-2,-4,-5,-8,-10,-16,-20,-32,-40,-64,-80,-128,-160,-320,-640.
How to find the factors of 640?
There are various methods we apply to find the factors of any number. Few of them are listed here; multiplication method, division method, prime factors and prime factorization and factor tree method. These are explained in detail below, let’s learn !
Finding Factors Using Multiplication
Step 1: Find all pairs of numbers whose product is 640.
Step 2: All the pairs found represent the factors of 640.
640 is not a prime number. The pair of numbers whose product is 640 is
1×640=640
2×320=640
4×140=640
5×128=640
8×80=640
10×64=640
16×40=640
20×32=640
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.
Finding Factors by Division Method
Step 1: Start by dividing 640 with the smallest number, and check the remainders.
Step 2: 640 is prime, therefore the only divisors it has are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.
Any number that is further checked for divisibility leaves behind a remainder.
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.
Prime factors and prime factorization
— 640 is not a prime number.
— The prime factorization of 640 is 27×51. 2 and 5 are prime factors of 640.
— Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.
Factor tree
— In this method, we make branches that extend from the number to express a number as the product of its factors.
— In case of 640, first branch will be — 2×320→ 2×160 → 2×80 → 2×40 → 2×20 → 2×10 → 2×5 — the factorization ends with 5, it is a prime number.
Common mistakes and how to avoid them in the factors of 640
We all make mistakes when it comes to finding factors, especially when it comes to numbers like 640. Don’t worry, it is not a part of learning. Here are a few common slip-ups we may make, along with tips to avoid them.
Mistake 1
Excluding negative factors
Every positive factor has a corresponding negative factor. Often times, the negative factors are not included.
Factors of 640 Examples
Problem 1
Find the GCF of 640 and 256.
List the prime factors of each number:
640=27×5
256=28
Identify the common factors:
Both have the factor 27
Multiply the common factors:
27=128
So, the GCF of 640 and 256 is 128.
Explanation
The GCF is found by taking the highest power of common prime factors. Here, both numbers share seven factors of 2, so their GCF is 27=128
Problem 2
What are the factor pairs of 640?
Factor pairs multiply to make 640.
Listing pairs:
(1,640),(2,320),(4,160),(5,128),(8,80),(10,64),(16,40),(20,32)(1, 640), (2, 320), (4, 160), (5, 128), (8, 80), (10, 64), (16, 40),(20,32).
Explanation
Factor pairs are two numbers that multiply together to get the original number, in this case, 640. Listing pairs helps visualize different combinations that equal 640.
Problem 3
640 can be written as 2^?×5². Find the missing exponent.
We know 640=27×5
The missing exponent for 2 is 7.
Explanation
This problem is about identifying the power of 2 in the prime factorization of 640.
FAQs on Factors of 640
1.Is 640 a perfect square?
2.What are the multiples of 640?
3.What are the factors of 650?
4. Find the sum of even factors of 640.
5.Are multiples of 640 infinite?
Important Glossaries for Factors of 640
- Factors: numbers that divide the given number without leaving a remainder.
- Prime factorization: breaking numbers down into their prime factors.
- Prime factors: Prime numbers that multiply together to form a given number.
- Composite number: Number that has at least more than one divisor other than 1 and the number itself.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
