Express 1000 as a Product of Prime Factors

These factors are also called divisors. Expressing 2 and 5 in powers we get 1000 2 3 5 3.

Express The Following As A Product Of Prime Factor 182

Decompose the given number into prime factors using synthetic division.

. Express each of the following as product of powers of their prime factors. Express each of the following as product of powers of their prime factors. Diameter of the Earth is 1 27 56 000 m.

Therefore the product of prime factors 2 3 5 30. 2 2 2 2 1000 2 4 10 3 as 16 2 2 2 2 2 2 2 2 2 2 2 5 5 5 2 4 2 3 5 3 Since 1000 2 2 2 5 5 5. NCERT solutions for Class 7 Maths Chapter 13 Exponents and Powers Exercise 132 Exercise 133 Page 263 The distance between Earth and Moon is 384 000 000 m.

Speed of light in vacuum is 300 000 000 ms. Ix Express 1000 as product of powers of its prime factors. How do you express the product of prime factors.

So the Prime factorization of 1000 is 23 53. I 108 x 192 ii 270 iii 729 64 iv 768. The following steps would be useful to write a number as a product of its prime factors.

In this case the highest common factor or greatest common divisor is 1. Prime Factorization of a number refers to breaking down a number into the form of products of its prime factors. Express each of the following as a product of prime factors only in exponential form.

In this lesson we will calculate the factors of 1000 prime factors of 1000 and factors of 1000 in pairs along with solved examples for a better understanding. Example 5 Express the following numbers as a product of powers of prime factors. Iii 1000 1000 2 2 2 5 5 5 23 53 21000 2500 2250 5125 525 55 1.

In prime factors divisors 187 11x17 and 1000 2x2x2x5x5x5 So they share no prime factors and this is referred to as being co-prime or relatively prime. This theorem states that natural numbers greater than 1 are either prime or can be factored as a product of prime numbers. Diameter of the Sun is 1 400 000 000 m.

Davneet Singh is a graduate from Indian Institute of Technology Kanpur. 3 6 0 0. 60 5 3 2 2.

Example 5 Express the following numbers as a product of powers of prime factors. Prime numbers are widely used in number theory due to the fundamental theorem of arithmetic. Writing a Product of Prime Factors When a composite number is written as a product of all of its prime factors we have the prime factorization of the number.

Hence 1000 can be written as 2 3 5 3 as product of power of prime factors. Write all the prime factors as a product. Since 192 is a highly composite number therefore the number of factors is more for 192.

Express 1000 as product of powers of its prime factors. If the same prime factor is repeated write it as a power of that factor. 192 is divisible by 2 since it is an even numberAlso the sum of all the digits of 192 is an even number ie 12.

About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy Safety How YouTube works Test new features Press Copyright Contact us Creators. Since the prime factors of 120 are 2 3 5. In Maths factors of 192 are the natural numbers that divide the actual number exactly.

For example we can write the. HOW TO EXPRESS A NUMBER AS THE PRODUCT OF ITS PRIME FACTORS. The number 1000 has several factors and also is an even composite number.

As an example the number 60 can be factored into a product of prime numbers as follows. Iv 16000 16000 2 2 2 2 2 2 2 5 5 5 27 53216000280002400021000250022502125225551. To save time students can also use the divisibility rule of 2 3 and 5 to check if the number is divisible by them.

Express 32000 as a product of powers of prime factors 2852 2853 2754 2854 32000 can be written as3200022222100025103as 3222222 252225 Grade Express 32000 as a product of powers of prime factors 2. The distinct factors of 1000 are the numbers which when dividing 1000 leaves the remainder zero.

Prime Factorization Definition Methods Examples Prime Factorize