Factors of 472
Factors of 472 are the list of integers that can be evenly divided into 472. There are overall 8 factors of 472 i.e. 1, 2, 4, 8, 59, 118, 236, 472 where 472 is the biggest factor. The Prime Factors of 472 are 2 × 59 and its Factors in Pairs are (1, 472), (2, 236), (4, 118), (8, 59).
- All Factors of 472: 1, 2, 4, 8, 59, 118, 236 and 472
- Negative Factors of 472: -1, -2, -4, -8, -59, -118, -236 and -472
- Prime Factors of 472: 2, 59
- Prime Factorization of 472: 23 × 591
- Sum of Factors of 472: 900
1. | What Are the Factors of 472? |
2. | Factors of 472 by Prime Factorization |
3. | Factors of 472 in Pairs |
4. | FAQs on Factors of 472 |

What are Factors of 472?
Factors of 472 are pairs of those numbers whose products result in 472. These factors are either prime numbers or composite numbers.
How to Find the Factors of 472?
To find the factors of 472, we will have to find the list of numbers that would divide 472 without leaving any remainder.
- 472/8 = 59; therefore, 8 is a factor of 472 and 59 is also a factor of 472.
- 472/4 = 118; therefore, 4 is a factor of 472 and 118 is also a factor of 472.
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- Factors of 49 - The factors of 49 are 1, 7, 49
Factors of 472 by Prime Factorization
- 472 ÷ 2 = 236
- 236 ÷ 2 = 118
- 118 ÷ 2 = 59
Further dividing 59 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 59 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 472 can be written as 23 × 591 where 2, 59 are prime.
Factors of 472 in Pairs
Pair factors of 472 are the pairs of numbers that when multiplied give the product 472. The factors of 472 in pairs are:
- 1 × 472 = (1, 472)
- 2 × 236 = (2, 236)
- 4 × 118 = (4, 118)
- 8 × 59 = (8, 59)
Negative pair factors of 472 are:
- -1 × -472 = (-1, -472)
- -2 × -236 = (-2, -236)
- -4 × -118 = (-4, -118)
- -8 × -59 = (-8, -59)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 472 Solved Examples
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Example 1: How many factors are there for 472?
Solution:
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. Therefore, 472 has 8 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 472 and 89.
Solution:
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472 and factors of 89 are 1, 89.
Therefore, the Least Common Multiple (LCM) of 472 and 89 is 42008 and Greatest Common Divisor (GCD) of 472 and 89 is 1. -
Example 3: Find if 1, 2, 8, 59 and 424 are factors of 472.
Solution:
When we divide 472 by 424 it leaves a remainder. Therefore, the number 424 is not a factor of 472. All numbers except 424 are factors of 472.
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Example 4: Find the product of all the prime factors of 472.
Solution:
Since, the prime factors of 472 are 2, 59. Therefore, the product of prime factors = 2 × 59 = 118.
FAQs on Factors of 472
What are the Factors of 472?
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472 and its negative factors are -1, -2, -4, -8, -59, -118, -236, -472.
What is the Sum of all Factors of 472?
Sum of all factors of 472 = (23 + 1 - 1)/(2 - 1) × (591 + 1 - 1)/(59 - 1) = 900
What are the Pair Factors of 472?
The pair factors of 472 are (1, 472), (2, 236), (4, 118), (8, 59).
What is the Greatest Common Factor of 472 and 353?
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472 and the factors of 353 are 1, 353. 472 and 353 have only one common factor which is 1. This implies that 472 and 353 are co-prime.
Hence, the Greatest Common Factor (GCF) of 472 and 353 is 1.
How Many Factors of 237 are also common to the Factors of 472?
Since, the factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472 and factors of 237 are 1, 3, 79, 237. Hence, 472 and 237 have only one common factor which is 1. Therefore, 472 and 237 are co-prime.
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