Factors of 1694 in pair are (1, 1694) , (2, 847) , (7, 242) , (11, 154) , (14, 121) and (22, 77)

How to find factors of a number in pair

Steps to find factors of 1694 in pair

Example: Find factors of 1694 in pair

Factor Pair Pair Factorization
1 and 1694 1 x 1694 = 1694
2 and 847 2 x 847 = 1694
7 and 242 7 x 242 = 1694
11 and 154 11 x 154 = 1694
14 and 121 14 x 121 = 1694
22 and 77 22 x 77 = 1694

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 1694. They are called negative pair factors.

Hence, the negative pairs of 1694 would be ( -1 , -1694 ) .

What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 1694 are 1 , 2 , 7 , 11 , 14 , 22 , 77 , 121 , 154 , 242 , 847 , 1694. So, factors of 1694 in pair are (1,1694), (2,847), (7,242), (11,154), (14,121), (22,77).

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 1694 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, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694 are exact divisors of 1694.
  • 1 is a factor of every number. Eg. 1 is a factor of 1694.
  • Every number is a factor of zero (0), since 1694 x 0 = 0.

Steps to find Factors of 1694

  • Step 1. Find all the numbers that would divide 1694 without leaving any remainder. Starting with the number 1 upto 847 (half of 1694). The number 1 and the number itself are always factors of the given number.
    1694 ÷ 1 : Remainder = 0
    1694 ÷ 2 : Remainder = 0
    1694 ÷ 7 : Remainder = 0
    1694 ÷ 11 : Remainder = 0
    1694 ÷ 14 : Remainder = 0
    1694 ÷ 22 : Remainder = 0
    1694 ÷ 77 : Remainder = 0
    1694 ÷ 121 : Remainder = 0
    1694 ÷ 154 : Remainder = 0
    1694 ÷ 242 : Remainder = 0
    1694 ÷ 847 : Remainder = 0
    1694 ÷ 1694 : Remainder = 0

Hence, Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, and 1694

Frequently Asked Questions

  • Is 1694 a composite number?

    Yes 1694 is a composite number.

  • Is 1694 a prime number?

    No 1694 is not a prime number.

  • Is 1694 a perfect square?

    No 1694 is not a perfect square.

  • Write five multiples of 1694.

    Five multiples of 1694 are 3388, 5082, 6776, 8470, 10164.

  • Write all odd factors of 1694?

    The factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694.
    Odd factors of 1694 are 1 , 7 , 11 , 77 , 121 , 847.

Examples of Factors

Can you help Rubel in arranging 1694 blocks in order to form a rectangle in all possible ways? For arranging 1694 blocks in order to form a rectangle in all possible ways we need to find factors of 1694 in pair.

Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694. So, factors of 1694 in pair are (1,1694), (2,847), (7,242), (11,154), (14,121), (22,77).

Ariel has been asked to write all factor pairs of 1694 but she is finding it difficult. Can you help her find out?

Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694. So, factors of 1694 in pair are (1,1694), (2,847), (7,242), (11,154), (14,121), (22,77).

How many total number of factors of 1694 in pair are possible?

Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694. Hence, the factors of 1694 in pair are (1,1694), (2,847), (7,242), (11,154), (14,121), (22,77). Therefore, in total 6 pairs of factors are possible.

Sammy wants to write all the negative factors of 1694 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1694 are -1, -2, -7, -11, -14, -22, -77, -121, -154, -242, -847, -1694. Hence, factors of 1694 in pair are (-1,-1694), (-2,-847), (-7,-242), (-11,-154), (-14,-121), (-22,-77).

Help Deep in writing the positive factors of 1694 in pair and negative factor of 1694 in pair.

Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694. Positive factors of 1694 in pair are (1,1694), (2,847), (7,242), (11,154), (14,121), (22,77). Negative factors of 1694 in pair are (-1,-1694), (-2,-847), (-7,-242), (-11,-154), (-14,-121), (-22,-77).

Find the product of all factors of 1694.

Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694. So the product of all factors of 1694 would be 1 x 2 x 7 x 11 x 14 x 22 x 77 x 121 x 154 x 242 x 847 x 1694 = 23630909445942333000.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 1694.
- Writing all prime factors of 1694.
- Writing all the possible factors of 1694 in pair.
Help him in writing all these.

Positive factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694.
Prime factors of 1694 are 2, 7, 11, 11.
Factors of 1694 in pair are (1,1694), (2,847), (7,242), (11,154), (14,121), (22,77).

Can you help Sammy list the factors of 1694 and also find the factor pairs?

Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694.
Factors of 1694 in pair are (1,1694), (2,847), (7,242), (11,154), (14,121), (22,77).