Factors of 470
Factors of 470 are the list of integers that we can split evenly into 470. It has a total of 8 factors of which 470 is the biggest factor and the positive factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470. The Pair Factors of 470 are (1, 470), (2, 235), (5, 94), (10, 47) and its Prime Factors are 2 × 5 × 47.
- All Factors of 470: 1, 2, 5, 10, 47, 94, 235 and 470
- Negative Factors of 470: -1, -2, -5, -10, -47, -94, -235 and -470
- Prime Factors of 470: 2, 5, 47
- Prime Factorization of 470: 21 × 51 × 471
- Sum of Factors of 470: 864
1. | What Are the Factors of 470? |
2. | Factors of 470 by Prime Factorization |
3. | Factors of 470 in Pairs |
4. | FAQs on Factors of 470 |

What are Factors of 470?
Factors of 470 are pairs of those numbers whose products result in 470. These factors are either prime numbers or composite numbers.
How to Find the Factors of 470?
To find the factors of 470, we will have to find the list of numbers that would divide 470 without leaving any remainder.
- 470/5 = 94; therefore, 5 is a factor of 470 and 94 is also a factor of 470.
- 470/235 = 2; therefore, 235 is a factor of 470 and 2 is also a factor of 470.
☛ Also Check:
- Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
- Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
- Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
- Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
- Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factors of 470 by Prime Factorization
- 470 ÷ 2 = 235
Further dividing 235 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 235 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 470 can be written as 21 × 51 × 471 where 2, 5, 47 are prime.
Factors of 470 in Pairs
Pair factors of 470 are the pairs of numbers that when multiplied give the product 470. The factors of 470 in pairs are:
- 1 × 470 = (1, 470)
- 2 × 235 = (2, 235)
- 5 × 94 = (5, 94)
- 10 × 47 = (10, 47)
Negative pair factors of 470 are:
- -1 × -470 = (-1, -470)
- -2 × -235 = (-2, -235)
- -5 × -94 = (-5, -94)
- -10 × -47 = (-10, -47)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 470 Solved Examples
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Example 1: How many factors are there for 470?
Solution:
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470. Therefore, 470 has 8 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 470 and 279.
Solution:
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470 and factors of 279 are 1, 3, 9, 31, 93, 279.
Therefore, the Least Common Multiple of 470 and 279 is 131130 and Greatest Common Factor (GCF) of 470 and 279 is 1. -
Example 3: Find if 1, 5, 47, 235 and 279 are factors of 470.
Solution:
When we divide 470 by 279 it leaves a remainder. Therefore, the number 279 is not a factor of 470. All numbers except 279 are factors of 470.
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Example 4: Find the product of all the prime factors of 470.
Solution:
Since, the prime factors of 470 are 2, 5, 47. Therefore, the product of prime factors = 2 × 5 × 47 = 470.
FAQs on Factors of 470
What are the Factors of 470?
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470 and its negative factors are -1, -2, -5, -10, -47, -94, -235, -470.
What is the Sum of Factors of 470?
Sum of all factors of 470 = (21 + 1 - 1)/(2 - 1) × (51 + 1 - 1)/(5 - 1) × (471 + 1 - 1)/(47 - 1) = 864
What are Pair Factors of 470?
The pair factors of 470 are (1, 470), (2, 235), (5, 94), (10, 47).
What is the Greatest Common Factor of 470 and 191?
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470 and the factors of 191 are 1, 191. 470 and 191 have only one common factor which is 1. This implies that 470 and 191 are co-prime.
Hence, the Greatest Common Factor (GCF) of 470 and 191 is 1.
How Many Factors of 467 are also common to the Factors of 470?
Since, the factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470 and factors of 467 are 1, 467. Hence, 470 and 467 have only one common factor which is 1. Therefore, 470 and 467 are co-prime.
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