Factors of 1386 in pair are (1, 1386) , (2, 693) , (3, 462) , (6, 231) , (7, 198) , (9, 154) , (11, 126) , (14, 99) , (18, 77) , (21, 66) , (22, 63) and (33, 42)

How to find factors of a number in pair

Steps to find factors of 1386 in pair

Example: Find factors of 1386 in pair

Factor Pair Pair Factorization
1 and 1386 1 x 1386 = 1386
2 and 693 2 x 693 = 1386
3 and 462 3 x 462 = 1386
6 and 231 6 x 231 = 1386
7 and 198 7 x 198 = 1386
9 and 154 9 x 154 = 1386
11 and 126 11 x 126 = 1386
14 and 99 14 x 99 = 1386
18 and 77 18 x 77 = 1386
21 and 66 21 x 66 = 1386
22 and 63 22 x 63 = 1386
33 and 42 33 x 42 = 1386

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 1386. They are called negative pair factors.

Hence, the negative pairs of 1386 would be ( -1 , -1386 ) .

Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 1386 are 1 , 2 , 3 , 6 , 7 , 9 , 11 , 14 , 18 , 21 , 22 , 33 , 42 , 63 , 66 , 77 , 99 , 126 , 154 , 198 , 231 , 462 , 693 , 1386. So, factors of 1386 in pair are (1,1386), (2,693), (3,462), (6,231), (7,198), (9,154), (11,126), (14,99), (18,77), (21,66), (22,63), (33,42).

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 1386 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, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386 are exact divisors of 1386.
  • 1 is a factor of every number. Eg. 1 is a factor of 1386.
  • Every number is a factor of zero (0), since 1386 x 0 = 0.

Steps to find Factors of 1386

  • Step 1. Find all the numbers that would divide 1386 without leaving any remainder. Starting with the number 1 upto 693 (half of 1386). The number 1 and the number itself are always factors of the given number.
    1386 ÷ 1 : Remainder = 0
    1386 ÷ 2 : Remainder = 0
    1386 ÷ 3 : Remainder = 0
    1386 ÷ 6 : Remainder = 0
    1386 ÷ 7 : Remainder = 0
    1386 ÷ 9 : Remainder = 0
    1386 ÷ 11 : Remainder = 0
    1386 ÷ 14 : Remainder = 0
    1386 ÷ 18 : Remainder = 0
    1386 ÷ 21 : Remainder = 0
    1386 ÷ 22 : Remainder = 0
    1386 ÷ 33 : Remainder = 0
    1386 ÷ 42 : Remainder = 0
    1386 ÷ 63 : Remainder = 0
    1386 ÷ 66 : Remainder = 0
    1386 ÷ 77 : Remainder = 0
    1386 ÷ 99 : Remainder = 0
    1386 ÷ 126 : Remainder = 0
    1386 ÷ 154 : Remainder = 0
    1386 ÷ 198 : Remainder = 0
    1386 ÷ 231 : Remainder = 0
    1386 ÷ 462 : Remainder = 0
    1386 ÷ 693 : Remainder = 0
    1386 ÷ 1386 : Remainder = 0

Hence, Factors of 1386 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, and 1386

Frequently Asked Questions

  • Is 1386 a composite number?

    Yes 1386 is a composite number.

  • Is 1386 a prime number?

    No 1386 is not a prime number.

  • What is the mean of factors of 1386?

    Factors of 1386 are 1 , 2 , 3 , 6 , 7 , 9 , 11 , 14 , 18 , 21 , 22 , 33 , 42 , 63 , 66 , 77 , 99 , 126 , 154 , 198 , 231 , 462 , 693 , 1386. therefore mean of factors of 1386 is (1 + 2 + 3 + 6 + 7 + 9 + 11 + 14 + 18 + 21 + 22 + 33 + 42 + 63 + 66 + 77 + 99 + 126 + 154 + 198 + 231 + 462 + 693 + 1386) / 24 = 156.00.

  • What do you mean by proper divisors?

    A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

  • What do you mean by improper divisors?

    An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Ariel has been asked to write all factor pairs of 1386 but she is finding it difficult. Can you help her find out?

Factors of 1386 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386. So, factors of 1386 in pair are (1,1386), (2,693), (3,462), (6,231), (7,198), (9,154), (11,126), (14,99), (18,77), (21,66), (22,63), (33,42).

Sammy wants to write all the negative factors of 1386 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1386 are -1, -2, -3, -6, -7, -9, -11, -14, -18, -21, -22, -33, -42, -63, -66, -77, -99, -126, -154, -198, -231, -462, -693, -1386. Hence, factors of 1386 in pair are (-1,-1386), (-2,-693), (-3,-462), (-6,-231), (-7,-198), (-9,-154), (-11,-126), (-14,-99), (-18,-77), (-21,-66), (-22,-63), (-33,-42).

Help Deep in writing the positive factors of 1386 in pair and negative factor of 1386 in pair.

Factors of 1386 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386. Positive factors of 1386 in pair are (1,1386), (2,693), (3,462), (6,231), (7,198), (9,154), (11,126), (14,99), (18,77), (21,66), (22,63), (33,42). Negative factors of 1386 in pair are (-1,-1386), (-2,-693), (-3,-462), (-6,-231), (-7,-198), (-9,-154), (-11,-126), (-14,-99), (-18,-77), (-21,-66), (-22,-63), (-33,-42).

Find the product of all prime factors of 1386.

Factors of 1386 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386. Prime factors are 2, 3, 3, 7, 11. So, the product of all prime factors of 1386 would be 2 x 3 x 3 x 7 x 11 = 1386.

Can you help Sammy list the factors of 1386 and also find the factor pairs?

Factors of 1386 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386.
Factors of 1386 in pair are (1,1386), (2,693), (3,462), (6,231), (7,198), (9,154), (11,126), (14,99), (18,77), (21,66), (22,63), (33,42).

Help Diji in finding factors of 1386 by Prime Factorization method and then sorting factors of 1386 in pairs.

Prime factorization of 1386 is 2 x 3 x 3 x 7 x 11. Factors of 1386 in pair can be written as (1,1386), (2,693), (3,462), (6,231), (7,198), (9,154), (11,126), (14,99), (18,77), (21,66), (22,63), (33,42).

Write the smallest prime factor of 1386.

Smallest prime factor of 1386 is 2.

Write the largest prime factor of 1386.

Largest prime factor of 1386 is 11.