Factors of 473
Factors of 473 are numbers that, when multiplied in pairs give the product as 473. There are 4 factors of 473, which are 1, 11, 43, 473. Here, 473 is the biggest factor. The sum of all factors of 473 is 528 and its factors in Pairs are (1, 473), (11, 43).
- All Factors of 473: 1, 11, 43 and 473
- Negative Factors of 473: -1, -11, -43 and -473
- Prime Factors of 473: 11, 43
- Prime Factorization of 473: 111 × 431
- Sum of Factors of 473: 528
1. | What Are the Factors of 473? |
2. | Factors of 473 by Prime Factorization |
3. | Factors of 473 in Pairs |
4. | FAQs on Factors of 473 |
What are Factors of 473?
Factors of 473 are pairs of those numbers whose products result in 473. These factors are either prime numbers or composite numbers.
How to Find the Factors of 473?
To find the factors of 473, we will have to find the list of numbers that would divide 473 without leaving any remainder.
- 473/11 = 43; therefore, 11 is a factor of 473 and 43 is also a factor of 473.
- 473/1 = 473; therefore, 1 is a factor of 473 and 473 is also a factor of 473.
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Factors of 473 by Prime Factorization
- 473 ÷ 11 = 43
Further dividing 43 by 11 gives a non-zero remainder. So we stop the process and continue dividing the number 43 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 473 can be written as 111 × 431 where 11, 43 are prime.
Factors of 473 in Pairs
Pair factors of 473 are the pairs of numbers that when multiplied give the product 473. The factors of 473 in pairs are:
- 1 × 473 = (1, 473)
- 11 × 43 = (11, 43)
Negative pair factors of 473 are:
- -1 × -473 = (-1, -473)
- -11 × -43 = (-11, -43)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 473 Solved Examples
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Example 1: How many factors are there for 473?
Solution:
The factors of 473 are 1, 11, 43, 473. Therefore, 473 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 473 and 386.
Solution:
The factors of 473 are 1, 11, 43, 473 and factors of 386 are 1, 2, 193, 386.
Therefore, the Lowest Common Multiple (LCM) of 473 and 386 is 182578 and Highest Common Factor (HCF) of 473 and 386 is 1. -
Example 3: Find if 11, 43 and 237 are factors of 473.
Solution:
When we divide 473 by 237 it leaves a remainder. Therefore, the number 237 is not a factor of 473. All numbers except 237 are factors of 473.
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Example 4: Find the product of all the prime factors of 473.
Solution:
Since, the prime factors of 473 are 11, 43. Therefore, the product of prime factors = 11 × 43 = 473.
FAQs on Factors of 473
What are the Factors of 473?
The factors of 473 are 1, 11, 43, 473 and its negative factors are -1, -11, -43, -473.
What is the Sum of all the Factors of 473?
All the Factors of 473 are 1, 11, 43, 473 and therefore the sum of all these factors is 1 + 11 + 43 + 473 = 528
What numbers are the Pair Factors of 473?
The pair factors of 473 are (1, 473), (11, 43).
What is the Greatest Common Factor of 473 and 421?
The factors of 473 are 1, 11, 43, 473 and the factors of 421 are 1, 421. 473 and 421 have only one common factor which is 1. This implies that 473 and 421 are co-prime.
Hence, the Greatest Common Factor (GCF) of 473 and 421 is 1.
How Many Factors of 473 are also common to the Factors of 412?
Since, the factors of 473 are 1, 11, 43, 473 and factors of 412 are 1, 2, 4, 103, 206, 412. Hence, 473 and 412 have only one common factor which is 1. Therefore, 473 and 412 are co-prime.
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