Factors of 825 in pair are (1, 825) , (3, 275) , (5, 165) , (11, 75) , (15, 55) and (25, 33)

- Find all the numbers that would divide 825 without leaving any remainder. Starting with the number 1 upto 412 (half of 825). The number 1 and the number itself are always factors of the given number.
- Pair the factors so that their product is 825, and read off the answer!

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

1 and 825 | 1 x 825 = 825 |

3 and 275 | 3 x 275 = 825 |

5 and 165 | 5 x 165 = 825 |

11 and 75 | 11 x 75 = 825 |

15 and 55 | 15 x 55 = 825 |

25 and 33 | 25 x 33 = 825 |

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 825. They are called negative pair factors.

Hence, the negative pairs of 825 would be ( -1 , -825 ) .

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 825 are 1 , 3 , 5 , 11 , 15 , 25 , 33 , 55 , 75 , 165 , 275 , 825. So, factors of 825 in pair are (1,825), (3,275), (5,165), (11,75), (15,55), (25,33).

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

- Every factor of a number is an exact divisor of that number, example 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825 are exact divisors of 825.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Each number is a factor of itself. Eg. 825 is a factor of itself.
- 1 is a factor of every number. Eg. 1 is a factor of 825.

**Step 1.**Find all the numbers that would divide 825 without leaving any remainder. Starting with the number 1 upto 412 (half of 825). The number 1 and the number itself are always factors of the given number.825 ÷ 1 : Remainder = 0825 ÷ 3 : Remainder = 0825 ÷ 5 : Remainder = 0825 ÷ 11 : Remainder = 0825 ÷ 15 : Remainder = 0825 ÷ 25 : Remainder = 0825 ÷ 33 : Remainder = 0825 ÷ 55 : Remainder = 0825 ÷ 75 : Remainder = 0825 ÷ 165 : Remainder = 0825 ÷ 275 : Remainder = 0825 ÷ 825 : Remainder = 0

Hence, Factors of
*825* are **1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, and 825**

**Is 825 a composite number?**Yes 825 is a composite number.

**Is 825 a perfect square?**No 825 is not a perfect square.

**Write all odd factors of 825?**The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825.

Odd factors of 825 are 1 , 3 , 5 , 11 , 15 , 25 , 33 , 55 , 75 , 165 , 275 , 825.**What is the mean of all prime factors of 825?**Factors of 825 are 1 , 3 , 5 , 11 , 15 , 25 , 33 , 55 , 75 , 165 , 275 , 825. Prime factors of 825 are 3 , 5 , 5 , 11. Therefore mean of prime factors of 825 is (3 + 5 + 5 + 11) / 4 = 6.00.

**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.

Factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825. So, factors of 825 in pair are (1,825), (3,275), (5,165), (11,75), (15,55), (25,33).

Factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825. Hence, the factors of 825 in pair are (1,825), (3,275), (5,165), (11,75), (15,55), (25,33). Therefore, in total 6 pairs of factors are possible.

Negative factors of 825 are -1, -3, -5, -11, -15, -25, -33, -55, -75, -165, -275, -825. Hence, factors of 825 in pair are (-1,-825), (-3,-275), (-5,-165), (-11,-75), (-15,-55), (-25,-33).

Factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825. Prime factors are 3, 5, 5, 11. So, the product of all prime factors of 825 would be 3 x 5 x 5 x 11 = 825.

- Finding out all positive factors of 825.

- Writing all prime factors of 825.

- Writing all the possible factors of 825 in pair.

Help him in writing all these.

Positive factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825.

Prime factors of 825 are 3, 5, 5, 11.

Factors of 825 in pair are (1,825), (3,275), (5,165), (11,75), (15,55), (25,33).

Factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825.

Factors of 825 in pair are (1,825), (3,275), (5,165), (11,75), (15,55), (25,33).

Prime factorization of 825 is 3 x 5 x 5 x 11. Factors of 825 in pair can be written as (1,825), (3,275), (5,165), (11,75), (15,55), (25,33).

Smallest prime factor of 825 is 3.