Factors of 1620

The factors of 1620 are numbers that divide 1620 without leaving a remainder.

Positive Factors: These are the positive numbers that divide 1620 evenly. Positive factors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 45, 54, 60, 65, 72, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620

Negative Factors: These are the negative counterparts of the positive factors. Negative factors: -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -27, -30, -36, -45, -54, -60, -65, -72, -81, -90, -108, -135, -162, -180, -270, -324, -405, -540, -810, -1620

Prime Factors: Prime factors are the prime numbers that, when multiplied together, give 1620 as the product. Prime factors of 1620: 2, 3, 5

Prime Factorization: This involves breaking 1620 down into its prime factors and expressing it as a product. Prime factorization of 1620: 2² × 3⁴ × 5¹
 

There are different methods to find the factors of 1620.

Methods to Find the Factors of 1620:

1. Multiplication Method
2. Division Method
3. Prime Factor and Prime Factorization
4. Factor Tree

These approaches help in understanding the different factors of 1620, both positive and negative, and how prime factorization works for this number.
 

The multiplication method identifies pairs of factors whose product is 1620.

Step 1: Identify pairs of numbers whose product equals 1620.

Step 2: List these numbers as factors.

Example pairs for 1620 include: 1 × 1620 = 1620, 2 × 810 = 1620, 3 × 540 = 1620, 4 × 405 = 1620, and so on.
 

The division method identifies numbers that divide 1620 evenly.

Step 1: Start with 1, as all numbers are divisible by 1.

Step 2: Proceed to other integers and check divisibility.

Step 3: List numbers that divide 1620 completely.
 

Prime Factors of 1620: The prime numbers that multiply to give 1620 are 2, 3, and 5.

Prime Factorization: To find the prime factorization, divide 1620 by its prime factors:

• 1620 ÷ 2 = 810
• 810 ÷ 2 = 405
• 405 ÷ 3 = 135
• 135 ÷ 3 = 45
• 45 ÷ 3 = 15
• 15 ÷ 3 = 5
• 5 ÷ 5 = 1

Prime factorization of 1620: 2² × 3⁴ × 5¹
 

A factor tree visually shows how 1620 breaks down into its prime factors:

This tree shows the breakdown of 1620 into its prime factors: 2 × 3 × 5.
In this factor tree, each branch splits into prime factors.

• Co-prime: Numbers that do not share any common factors other than 1.

• Perfect Square: A number obtained when a whole number is multiplied by itself (e.g., 9 × 9 = 81).

• Prime Factors: Prime numbers that, when multiplied together, produce the original number (e.g., for 1620, the prime factors are 2, 3, and 5).

• Factor Tree: A diagram that breaks down a number into its prime factors, showing how the number can be divided step by step.

• Multiple: A number obtained when another number is multiplied by an integer (e.g., 45, 90, 135 are multiples of 45).