Factors of 6

Introduction

Factors are numbers that evenly divide a given number without leaving a remainder. When two integers multiply to give 6, they are called pair factors. For example, the pair factors of 6 are (1, 6) and (-1, -6). Both positive and negative pairs are considered because multiplying two negative numbers also gives a positive product.

Factors of 6

Factors of 6 are numbers that divide 6 exactly without leaving a remainder. Since 6 is an even composite number, it has more factors than just 1 and 6. The factors of 6 are 1, 2, 3, and 6. Similarly, the negative factors are -1, -2, -3, and -6.

Also Check: Cubes from 1 to 50

Factors of 6

1, 2, 3, and 6

Prime Factorization of 6:

2 * 3

Pair Factors of 6

Pair factors are pairs of numbers that, when multiplied together, result in the original number, which is 6 in this case.

Positive Pair Factors of 6

  • (1, 6)
  • (2, 3)

Negative Pair Factors of 6

  • (-1, -6)
  • (-2, -3)

Also Check: Differential Equations

Factors of 6 by Division Method

Using the division method, you can find the factors of 6 by dividing it by various integers. If the division leaves no remainder, the divisor is a factor.

  1. 6 ÷ 1 = 6 (Factor is 1)
  2. 6 ÷ 2 = 3 (Factor is 2)
  3. 6 ÷ 3 = 2 (Factor is 3)
  4. 6 ÷ 6 = 1 (Factor is 6)

If you divide 6 by any other number, it leaves a remainder, so 1, 2, 3, and 6 are the only factors.

Prime Factorization of 6

Prime factorization involves breaking down a number into its prime factors.

  1. 6 ÷ 2 = 3
  2. 3 ÷ 3 = 1

Since 2 and 3 are prime numbers, the prime factors of 6 are 2 and 3.

Also Check: Cube root table

Prime Factorization of 6

2 * 3

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Frequently Asked Questions on Factors of 6

Yes, 3 is a factor of 6. When 6 is divided by 3, the remainder is zero, confirming that 3 is indeed a factor of 6.

The prime factorization of 6 is 2×3

The sum of the factors of 6 is 12. The factors of 6 are 1, 2, 3, and 6, so their sum is 1+2+3+6=12

The factors of 6 are 1, 2, 3, and 6.