If 4 is a factor of numbers 256 and 72 then show that it the
factor of sum of the numbers and difference of the numbers.
Answers
Answer:
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Step-by-step explanation:
256 is a composite number having all the factors which can be observed in table of 2, 4 and 8. Hence each pair factor of 256 includes atleast one number which is divisible by 2. Let us explore more about factors of 256 with some interesting examples.
Factors of 256: 1, 2, 4, 8, 16, 32, 64, 128 and 256.
Prime Factorization of 256: 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
256 is a composite number having all the factors which can be observed in table of 2, 4 and 8. Hence each pair factor of 256 includes atleast one number which is divisible by 2. Let us explore more about factors of 256 with some interesting examples.
Factors of 256: 1, 2, 4, 8, 16, 32, 64, 128 and 256.
Prime Factorization of 256: 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
What are the Factors of 256?
Factors of 256 are all the numbers that on multiplication give the product 256.
factors of 256
How to Calculate the Factors of 256?
The factors of 256 are integers that divide 256 without any remainder.
Let's learn how to calculate factors of 256.
Let's begin calculating the factors of 256, starting with1.
256 ÷ 1 = 256, Remainder = 0
256 ÷ 2 = 128, Remainder = 0
256 ÷ 4 = 64, Remainder = 0
256 ÷ 8 = 34, Remainder = 0
256 ÷ 16 = 16 Remainder = 0
All the divisors and the quotient thus obtained on division form the factors of 256. They are: 1, 2, 4, 8, 16, 32, 64, 128 and 256.
Hence, the factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128 and 256.Explore factors using illustrations and interactive examples.
Factors of 250: The factors of 250 are 1, 2, 5, 10, 25, 50, 125 and 250.
Factors of 625: The factors of 625 are 1, 5, 25, 125 and 625.
Factors of 32: The factors of 32 are 1, 2, 4, 8, 16, and 32.
Factors of 216: The factors of 216 are , 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, and 216
Factors of 25: The factors of 25 are 1, 5 and 25
Factors of 256 by Prime Factorization
Prime factorization is to express a composite number as the product of its prime factors.
To get the prime factorization of 256, we divide it by its smallest prime factor which is 5. 256 ÷ 2 = 128,
Now divide 128 by its smallest prime factor. 128 ÷ 2 =64
This process goes on till we get the quotient as 1.
The prime factorization of 256 is shown below in 2 ways: factor-tree method and the upside-down division method.
prime factorization of 256
256 = 2 × 2 × 2 ×2 × 2 × 2 × 2 × 2. We can multiply all of these factors thus obtained and get all the possible composite factors as well.
Factors of 256 in Pairs
The pair of numbers that multiply together to form 256 are said to be the factors of 256 in pairs. The distinct factor-pairs of 256 is given as (1, 256), (2, 128), (4, 64), (8, 32), and (16, 16). We can have positive and negative factors that make 256. The negative factor-pairs of 256 are (-1, -256), (-2, -128), (-4, -64), (-8, -32), and (-16, -16).
Important Notes
As 256 is an even number, all of its factors will also be even.
256 is a perfect square number.
Factors are never fractions or