Factors of 570
Factors of 570 are the list of integers that can be evenly divided into 570. There are overall 16 factors of 570 among which 570 is the biggest factor and 2, 3, 5, 19 are its prime factors. The Prime Factorization of 570 is 21 × 31 × 51 × 191.
- All Factors of 570: 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285 and 570
- Prime Factors of 570: 2, 3, 5, 19
- Prime Factorization of 570: 21 × 31 × 51 × 191
- Sum of Factors of 570: 1440
1. | What Are the Factors of 570? |
2. | Factors of 570 by Prime Factorization |
3. | Factors of 570 in Pairs |
4. | FAQs on Factors of 570 |

What are Factors of 570?
Factors of 570 are pairs of those numbers whose products result in 570. These factors are either prime numbers or composite numbers.
How to Find the Factors of 570?
To find the factors of 570, we will have to find the list of numbers that would divide 570 without leaving any remainder.
- 570/114 = 5; therefore, 114 is a factor of 570 and 5 is also a factor of 570.
- 570/15 = 38; therefore, 15 is a factor of 570 and 38 is also a factor of 570.
☛ Also Check:
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
- Factors of 49 - The factors of 49 are 1, 7, 49
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
- Factors of 19 - The factors of 19 are 1, 19
Factors of 570 by Prime Factorization
- 570 ÷ 2 = 285
Further dividing 285 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 285 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 570 can be written as 21 × 31 × 51 × 191 where 2, 3, 5, 19 are prime.
Factors of 570 in Pairs
Pair factors of 570 are the pairs of numbers that when multiplied give the product 570. The factors of 570 in pairs are:
- 1 × 570 = (1, 570)
- 2 × 285 = (2, 285)
- 3 × 190 = (3, 190)
- 5 × 114 = (5, 114)
- 6 × 95 = (6, 95)
- 10 × 57 = (10, 57)
- 15 × 38 = (15, 38)
- 19 × 30 = (19, 30)
Negative pair factors of 570 are:
- -1 × -570 = (-1, -570)
- -2 × -285 = (-2, -285)
- -3 × -190 = (-3, -190)
- -5 × -114 = (-5, -114)
- -6 × -95 = (-6, -95)
- -10 × -57 = (-10, -57)
- -15 × -38 = (-15, -38)
- -19 × -30 = (-19, -30)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 570 Solved Examples
-
Example 1: How many factors are there for 570?
Solution:
The factors of 570 are too many, therefore if we can find the prime factorization of 570, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 570 = 21 × 31 × 51 × 191
Therefore, the total number of factors are (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 2 × 2 × 2 × 2 = 16 -
Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 570 and 337.
Solution:
The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570 and factors of 337 are 1, 337.
Therefore, the Lowest Common Multiple (LCM) of 570 and 337 is 192090 and Greatest Common Factor (GCF) of 570 and 337 is 1. -
Example 3: Find if 3, 5, 19, 57, 82, 95, 114 and 285 are factors of 570.
Solution:
When we divide 570 by 82 it leaves a remainder. Therefore, the number 82 is not a factor of 570. All numbers except 82 are factors of 570.
-
Example 4: Find the product of all the prime factors of 570.
Solution:
Since, the prime factors of 570 are 2, 3, 5, 19. Therefore, the product of prime factors = 2 × 3 × 5 × 19 = 570.
FAQs on Factors of 570
What are the Factors of 570?
The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570 and its negative factors are -1, -2, -3, -5, -6, -10, -15, -19, -30, -38, -57, -95, -114, -190, -285, -570.
What is the Sum of Factors of 570?
Sum of all factors of 570 = (21 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (51 + 1 - 1)/(5 - 1) × (191 + 1 - 1)/(19 - 1) = 1440
What are the Prime Factors of 570?
The prime factors of 570 are 2, 3, 5, 19.
What is the Greatest Common Factor of 570 and 348?
The factors of 570 and 348 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570 and 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348 respectively.
Common factors of 570 and 348 are [1, 2, 3, 6].
Hence, the Greatest Common Factor of 570 and 348 is 6.
What are the Common Factors of 570 and 31?
Since, the factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570 and factors of 31 are 1, 31. Hence, 570 and 31 have only one common factor which is 1. Therefore, 570 and 31 are co-prime.
visual curriculum