Factors of 1572

The numbers that divide 1572 evenly are known as factors of 1572. A factor of 1572 is a number that divides the number without remainder. The factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, and 1572.

Negative factors of 1572: -1, -2, -3, -4, -6, -12, -131, -262, -393, -524, -786, and -1572.

Prime factors of 1572: 2, 3, and 131.

Prime factorization of 1572: 2² × 3 × 131.

The sum of factors of 1572: 1 + 2 + 3 + 4 + 6 + 12 + 131 + 262 + 393 + 524 + 786 + 1572 = 3696

Factors can be found using different methods. Mentioned below are some commonly used methods:

1. Finding factors using multiplication
2. Finding factors using division method
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1572. Identifying the numbers which are multiplied to get the number 1572 is the multiplication method.

Step 1: Multiply 1572 by 1, 1572 × 1 = 1572.

Step 2: Check for other numbers that give 1572 after multiplying

2 × 786 = 1572

3 × 524 = 1572

4 × 393 = 1572

6 × 262 = 1572

12 × 131 = 1572

Therefore, the positive factor pairs of 1572 are: (1, 1572), (2, 786), (3, 524), (4, 393), (6, 262), (12, 131). All these factor pairs result in 1572. For every positive factor, there is a negative factor.

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 1572 by 1, 1572 ÷ 1 = 1572.

Step 2: Continue dividing 1572 by the numbers until the remainder becomes 0.

1572 ÷ 1 = 1572

1572 ÷ 2 = 786

1572 ÷ 3 = 524

1572 ÷ 4 = 393

1572 ÷ 6 = 262

1572 ÷ 12 = 131

Therefore, the factors of 1572 are: 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, and 1572.

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:

• Using prime factorization
• Using factor tree

Using Prime Factorization: In this process, prime factors of 1572 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1572 ÷ 2 = 786

786 ÷ 2 = 393

393 ÷ 3 = 131

131 ÷ 131 = 1

The prime factors of 1572 are 2, 3, and 131. The prime factorization of 1572 is: 2² × 3 × 131.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 1572 is divided by 2 to get 786.

Step 2: Now divide 786 by 2 to get 393.

Step 3: Then divide 393 by 3 to get 131. Here, 131 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1572 is: 2² × 3 × 131.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

• Positive factor pairs of 1572: (1, 1572), (2, 786), (3, 524), (4, 393), (6, 262), and (12, 131).

• Negative factor pairs of 1572: (-1, -1572), (-2, -786), (-3, -524), (-4, -393), (-6, -262), and (-12, -131).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, and 1572.

• Prime factors: The factors which are prime numbers. For example, 2, 3, and 131 are prime factors of 1572.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1572 are (1, 1572), (2, 786), etc.

• Multiple: A number that can be divided by another number without leaving a remainder. For example, 1572 is a multiple of 6.

• Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1572 is 2² × 3 × 131.