Factors of 1292 in pair are (1, 1292) , (2, 646) , (4, 323) , (17, 76) , (19, 68) and (34, 38)

- Find all the numbers that would divide 1292 without leaving any remainder. Starting with the number 1 upto 646 (half of 1292). The number 1 and the number itself are always factors of the given number.
- Pair the factors so that their product is 1292, and read off the answer!

Factor Pair | Pair Factorization |
---|---|

1 and 1292 | 1 x 1292 = 1292 |

2 and 646 | 2 x 646 = 1292 |

4 and 323 | 4 x 323 = 1292 |

17 and 76 | 17 x 76 = 1292 |

19 and 68 | 19 x 68 = 1292 |

34 and 38 | 34 x 38 = 1292 |

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 1292. They are called negative pair factors.

Hence, the negative pairs of 1292 would be ( -1 , -1292 ) .

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 1292 are 1 , 2 , 4 , 17 , 19 , 34 , 38 , 68 , 76 , 323 , 646 , 1292. So, factors of 1292 in pair are (1,1292), (2,646), (4,323), (17,76), (19,68), (34,38).

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.

- Each number is a factor of itself. Eg. 1292 is a factor of itself.
- 1 is a factor of every number. Eg. 1 is a factor of 1292.
- Every number is a factor of zero (0), since 1292 x 0 = 0.
- 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, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292 are exact divisors of 1292.
- Factors of 1292 are 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292. Each factor divides 1292 without leaving a remainder.
- Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292 are all less than or equal to 1292.

**Step 1.**Find all the numbers that would divide 1292 without leaving any remainder. Starting with the number 1 upto 646 (half of 1292). The number 1 and the number itself are always factors of the given number.1292 ÷ 1 : Remainder = 01292 ÷ 2 : Remainder = 01292 ÷ 4 : Remainder = 01292 ÷ 17 : Remainder = 01292 ÷ 19 : Remainder = 01292 ÷ 34 : Remainder = 01292 ÷ 38 : Remainder = 01292 ÷ 68 : Remainder = 01292 ÷ 76 : Remainder = 01292 ÷ 323 : Remainder = 01292 ÷ 646 : Remainder = 01292 ÷ 1292 : Remainder = 0

Hence, Factors of
*1292* are **1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, and 1292**

**Is 1292 a composite number?**Yes 1292 is a composite number.

**Is 1292 a prime number?**No 1292 is not a prime number.

**Is 1292 a perfect square?**No 1292 is not a perfect square.

**Write five multiples of 1292.**Five multiples of 1292 are 2584, 3876, 5168, 6460, 7752.

**Write all odd factors of 1292?**The factors of 1292 are 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292.

Odd factors of 1292 are 1 , 17 , 19 , 323.

- Finding out all positive factors of 1292.

- Writing all prime factors of 1292.

- Writing all the possible factors of 1292 in pair.

Help him in writing all these.

Positive factors of 1292 are 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292.

Prime factors of 1292 are 2, 2, 17, 19.

Factors of 1292 in pair are (1,1292), (2,646), (4,323), (17,76), (19,68), (34,38).

Factors of 1292 are 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292. Hence, the factors of 1292 in pair are (1,1292), (2,646), (4,323), (17,76), (19,68), (34,38).

Factors of 1292 are 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292.

Factors of 1292 in pair are (1,1292), (2,646), (4,323), (17,76), (19,68), (34,38).

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 1292 in pair. So, the possible combinations (1,1292), (2,646), (4,323), (17,76), (19,68), (34,38).

Prime factorization of 1292 is 2 x 2 x 17 x 19. Factors of 1292 in pair can be written as (1,1292), (2,646), (4,323), (17,76), (19,68), (34,38).

Smallest prime factor of 1292 is 2.

Largest prime factor of 1292 is 19.

Negative factors of 1292 are -1, -2, -4, -17, -19, -34, -38, -68, -76, -323, -646, -1292.