Factors of 882 in pair are (1, 882) , (2, 441) , (3, 294) , (6, 147) , (7, 126) , (9, 98) , (14, 63) , (18, 49) and (21, 42)

How to find factors of a number in pair

Steps to find factors of 882 in pair

Example: Find factors of 882 in pair

Factor Pair Pair Factorization
1 and 882 1 x 882 = 882
2 and 441 2 x 441 = 882
3 and 294 3 x 294 = 882
6 and 147 6 x 147 = 882
7 and 126 7 x 126 = 882
9 and 98 9 x 98 = 882
14 and 63 14 x 63 = 882
18 and 49 18 x 49 = 882
21 and 42 21 x 42 = 882

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 882. They are called negative pair factors.

Hence, the negative pairs of 882 would be ( -1 , -882 ) .

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 882 are 1 , 2 , 3 , 6 , 7 , 9 , 14 , 18 , 21 , 42 , 49 , 63 , 98 , 126 , 147 , 294 , 441 , 882. So, factors of 882 in pair are (1,882), (2,441), (3,294), (6,147), (7,126), (9,98), (14,63), (18,49), (21,42).

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. 882 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, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882 are exact divisors of 882.
  • 1 is a factor of every number. Eg. 1 is a factor of 882.
  • Every number is a factor of zero (0), since 882 x 0 = 0.

Steps to find Factors of 882

  • Step 1. Find all the numbers that would divide 882 without leaving any remainder. Starting with the number 1 upto 441 (half of 882). The number 1 and the number itself are always factors of the given number.
    882 ÷ 1 : Remainder = 0
    882 ÷ 2 : Remainder = 0
    882 ÷ 3 : Remainder = 0
    882 ÷ 6 : Remainder = 0
    882 ÷ 7 : Remainder = 0
    882 ÷ 9 : Remainder = 0
    882 ÷ 14 : Remainder = 0
    882 ÷ 18 : Remainder = 0
    882 ÷ 21 : Remainder = 0
    882 ÷ 42 : Remainder = 0
    882 ÷ 49 : Remainder = 0
    882 ÷ 63 : Remainder = 0
    882 ÷ 98 : Remainder = 0
    882 ÷ 126 : Remainder = 0
    882 ÷ 147 : Remainder = 0
    882 ÷ 294 : Remainder = 0
    882 ÷ 441 : Remainder = 0
    882 ÷ 882 : Remainder = 0

Hence, Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, and 882

Frequently Asked Questions

  • Is 882 a composite number?

    Yes 882 is a composite number.

  • Is 882 a prime number?

    No 882 is not a prime number.

  • What is the mean of factors of 882?

    Factors of 882 are 1 , 2 , 3 , 6 , 7 , 9 , 14 , 18 , 21 , 42 , 49 , 63 , 98 , 126 , 147 , 294 , 441 , 882. therefore mean of factors of 882 is (1 + 2 + 3 + 6 + 7 + 9 + 14 + 18 + 21 + 42 + 49 + 63 + 98 + 126 + 147 + 294 + 441 + 882) / 18 = 123.50.

  • 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 882 but she is finding it difficult. Can you help her find out?

Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. So, factors of 882 in pair are (1,882), (2,441), (3,294), (6,147), (7,126), (9,98), (14,63), (18,49), (21,42).

Sammy wants to write all the negative factors of 882 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 882 are -1, -2, -3, -6, -7, -9, -14, -18, -21, -42, -49, -63, -98, -126, -147, -294, -441, -882. Hence, factors of 882 in pair are (-1,-882), (-2,-441), (-3,-294), (-6,-147), (-7,-126), (-9,-98), (-14,-63), (-18,-49), (-21,-42).

Help Deep in writing the positive factors of 882 in pair and negative factor of 882 in pair.

Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. Positive factors of 882 in pair are (1,882), (2,441), (3,294), (6,147), (7,126), (9,98), (14,63), (18,49), (21,42). Negative factors of 882 in pair are (-1,-882), (-2,-441), (-3,-294), (-6,-147), (-7,-126), (-9,-98), (-14,-63), (-18,-49), (-21,-42).

Find the product of all prime factors of 882.

Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. Prime factors are 2, 3, 3, 7, 7. So, the product of all prime factors of 882 would be 2 x 3 x 3 x 7 x 7 = 882.

Can you help Sammy list the factors of 882 and also find the factor pairs?

Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882.
Factors of 882 in pair are (1,882), (2,441), (3,294), (6,147), (7,126), (9,98), (14,63), (18,49), (21,42).

Help Diji in finding factors of 882 by Prime Factorization method and then sorting factors of 882 in pairs.

Prime factorization of 882 is 2 x 3 x 3 x 7 x 7. Factors of 882 in pair can be written as (1,882), (2,441), (3,294), (6,147), (7,126), (9,98), (14,63), (18,49), (21,42).

Write the smallest prime factor of 882.

Smallest prime factor of 882 is 2.

Write the largest prime factor of 882.

Largest prime factor of 882 is 7.