Express each number as a product of its prime factors:
(V) 7429 how I will tht 17 is divisible to this no. 7429 tell me pls but don give me wrong ans
Answers
Answer:
when we divide 7429 by 17 we get 437
Answer:
Approach 1. Dividing numbers:
One integer A is divisible by another integer B,
if after dividing them, A ÷ B, the remainder is zero.
7,429 is divisible by 17, if there is an integer 'n' such that 7,429 = 'n' × 17.
Notice that dividing our numbers leaves no remainder:
7,429 ÷ 17 = 437 + 0;
So, 7,429 = 437 × 17;
=> 7,429 is divisible by 17.
17 is called a divisor (a factor) of 7,429.
17 | 7,429
The shorthand notation A | B means A divides B.
7,429 is a multiple of 17.
Note that this is also the first step of the Euclidean Algorithm, where the division of the numbers stops when a remainder equal to zero is reported.
7,429 is divisible by 17:
17 | 7,429
Approach 2. Integer numbers prime factorization:
Prime Factorization of a number: finding the prime numbers that multiply together to make that number.
7,429 = 17 × 19 × 23;
7,429 is not a prime, is a composite number;
17 is a prime number, it cannot be broken down to other prime factors;
* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.
* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.
7,429 has all the prime factors of the number 17;
So, 7,429 is divisible by 17:
17 | 7,429
The shorthand notation A | B means A divides B;
17 is called a divisor (a factor) of 7,429;
7,429 is a multiple of 17.
7,429 is divisible by 17:
17 | 7,429
Final answer:
7,429 is divisible by 17:
17 | 7,429.
Dividing our numbers leaves no remainder
7,429 has all the prime factors of the number 17.
17 is a factor (a divisor) of 7,429.
7,429 is a multiple of 17.
Step-by-step explanation:
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