Steps to find factors of 682 in pair

Example: Find factors of 682 in pair

Factor Pair Pair Factorization
1 and 682 1 x 682 = 682
2 and 341 2 x 341 = 682
11 and 62 11 x 62 = 682
22 and 31 22 x 31 = 682

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 682. They are called negative pair factors.

Hence, the negative pairs of 682 would be ( -1 , -682 ) .

How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 682 are 1 , 2 , 11 , 22 , 31 , 62 , 341 , 682. So, factors of 682 in pair are (1,682), (2,341), (11,62), (22,31).

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 682 is a factor of itself.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 11, 22, 31, 62, 341, 682 are exact divisors of 682.
  • 1 is a factor of every number. Eg. 1 is a factor of 682.
  • Every number is a factor of zero (0), since 682 x 0 = 0.

Steps to find Factors of 682

  • Step 1. Find all the numbers that would divide 682 without leaving any remainder. Starting with the number 1 upto 341 (half of 682). The number 1 and the number itself are always factors of the given number.
    682 ÷ 1 : Remainder = 0
    682 ÷ 2 : Remainder = 0
    682 ÷ 11 : Remainder = 0
    682 ÷ 22 : Remainder = 0
    682 ÷ 31 : Remainder = 0
    682 ÷ 62 : Remainder = 0
    682 ÷ 341 : Remainder = 0
    682 ÷ 682 : Remainder = 0

Hence, Factors of 682 are 1, 2, 11, 22, 31, 62, 341, and 682

Frequently Asked Questions

  • Is 682 a composite number?

    Yes 682 is a composite number.

  • Is 682 a prime number?

    No 682 is not a prime number.

  • Write five multiples of 682.

    Five multiples of 682 are 1364, 2046, 2728, 3410, 4092.

  • Write all odd factors of 682?

    The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682.
    Odd factors of 682 are 1 , 11 , 31 , 341.

  • What is the mean of all prime factors of 682?

    Factors of 682 are 1 , 2 , 11 , 22 , 31 , 62 , 341 , 682. Prime factors of 682 are 2 , 11 , 31. Therefore mean of prime factors of 682 is (2 + 11 + 31) / 3 = 14.67.

Examples of Factors

Ariel has been asked to write all factor pairs of 682 but she is finding it difficult. Can you help her find out?

Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682. So, factors of 682 in pair are (1,682), (2,341), (11,62), (22,31).

Sammy wants to write all the negative factors of 682 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 682 are -1, -2, -11, -22, -31, -62, -341, -682. Hence, factors of 682 in pair are (-1,-682), (-2,-341), (-11,-62), (-22,-31).

Help Deep in writing the positive factors of 682 in pair and negative factor of 682 in pair.

Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682. Positive factors of 682 in pair are (1,682), (2,341), (11,62), (22,31). Negative factors of 682 in pair are (-1,-682), (-2,-341), (-11,-62), (-22,-31).

Find the product of all prime factors of 682.

Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682. Prime factors are 2, 11, 31. So, the product of all prime factors of 682 would be 2 x 11 x 31 = 682.

Can you help Sammy list the factors of 682 and also find the factor pairs?

Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682.
Factors of 682 in pair are (1,682), (2,341), (11,62), (22,31).

Help Diji in finding factors of 682 by Prime Factorization method and then sorting factors of 682 in pairs.

Prime factorization of 682 is 2 x 11 x 31. Factors of 682 in pair can be written as (1,682), (2,341), (11,62), (22,31).

Write the smallest prime factor of 682.

Smallest prime factor of 682 is 2.

Write the largest prime factor of 682.

Largest prime factor of 682 is 31.