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Factors of 572

Factors of 572 are the list of integers that we can split evenly into 572. There are total 12 factors of 572, of which 2, 11, 13 are its prime factors. The Prime Factorization of 572 is 2² × 11¹ × 13¹.

All Factors of 572: 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286 and 572
Prime Factors of 572: 2, 11, 13
Prime Factorization of 572: 2² × 11¹ × 13¹
Sum of Factors of 572: 1176

1.	What Are the Factors of 572?
2.	Factors of 572 by Prime Factorization
3.	Factors of 572 in Pairs
4.	FAQs on Factors of 572

What are Factors of 572?

Factors of 572 are pairs of those numbers whose products result in 572. These factors are either prime numbers or composite numbers.

How to Find the Factors of 572?

To find the factors of 572, we will have to find the list of numbers that would divide 572 without leaving any remainder.

572/44 = 13; therefore, 44 is a factor of 572 and 13 is also a factor of 572.
572/22 = 26; therefore, 22 is a factor of 572 and 26 is also a factor of 572.

Similarly we can find other factors. Hence, the factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572.

☛ Also Check:

Factors of 33 - The factors of 33 are 1, 3, 11, 33
Factors of 41 - The factors of 41 are 1, 41
Factors of 91 - The factors of 91 are 1, 7, 13, 91
Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98

Factors of 572 by Prime Factorization

The number 572 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 572. The first step is to divide the number 572 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

572 ÷ 2 = 286
286 ÷ 2 = 143

Further dividing 143 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 143 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 572 can be written as 2² × 11¹ × 13¹ where 2, 11, 13 are prime.

Factors of 572 in Pairs

Pair factors of 572 are the pairs of numbers that when multiplied give the product 572. The factors of 572 in pairs are:

1 × 572 = (1, 572)
2 × 286 = (2, 286)
4 × 143 = (4, 143)
11 × 52 = (11, 52)
13 × 44 = (13, 44)
22 × 26 = (22, 26)

Negative pair factors of 572 are:

-1 × -572 = (-1, -572)
-2 × -286 = (-2, -286)
-4 × -143 = (-4, -143)
-11 × -52 = (-11, -52)
-13 × -44 = (-13, -44)
-22 × -26 = (-22, -26)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 572 Solved Examples

Example 1: How many factors are there for 572?

Solution:

The factors of 572 are too many, therefore if we can find the prime factorization of 572, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is a^x × b^y × c^z 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 572 = 2² × 11¹ × 13¹
Therefore, the total number of factors are (2 + 1) × (1 + 1) × (1 + 1) = 3 × 2 × 2 = 12
Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 572 and 130.

Solution:

The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572 and factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130.

Therefore, the Least Common Multiple (LCM) of 572 and 130 is 2860 and Greatest Common Factor (GCF) of 572 and 130 is 26.
Example 3: Find if 1, 4, 11, 13, 52, 146 and 286 are factors of 572.

Solution:

When we divide 572 by 146 it leaves a remainder. Therefore, the number 146 is not a factor of 572. All numbers except 146 are factors of 572.
Example 4: Find the product of all the prime factors of 572.

Solution:

Since, the prime factors of 572 are 2, 11, 13. Therefore, the product of prime factors = 2 × 11 × 13 = 286.

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FAQs on Factors of 572

What are the Factors of 572?

The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572 and its negative factors are -1, -2, -4, -11, -13, -22, -26, -44, -52, -143, -286, -572.

What is the Sum of all Factors of 572?

Sum of all factors of 572 = (2^{2 + 1} - 1)/(2 - 1) × (11^{1 + 1} - 1)/(11 - 1) × (13^{1 + 1} - 1)/(13 - 1) = 1176

What are the Pair Factors of 572?

The pair factors of 572 are (1, 572), (2, 286), (4, 143), (11, 52), (13, 44), (22, 26).

What is the Greatest Common Factor of 572 and 71?

The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572 and the factors of 71 are 1, 71. 572 and 71 have only one common factor which is 1. This implies that 572 and 71 are co-prime.

Hence, the Greatest Common Factor (GCF) of 572 and 71 is 1.

What are the Common Factors of 572 and 554?

Since, the factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572 and the factors of 554 are 1, 2, 277, 554.
Hence, [1, 2] are the common factors of 572 and 554.

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