Factors of 1575 in pair are (1, 1575) , (3, 525) , (5, 315) , (7, 225) , (9, 175) , (15, 105) , (21, 75) , (25, 63) and (35, 45)

How to find factors of a number in pair

Steps to find factors of 1575 in pair

Example: Find factors of 1575 in pair

Factor Pair Pair Factorization
1 and 1575 1 x 1575 = 1575
3 and 525 3 x 525 = 1575
5 and 315 5 x 315 = 1575
7 and 225 7 x 225 = 1575
9 and 175 9 x 175 = 1575
15 and 105 15 x 105 = 1575
21 and 75 21 x 75 = 1575
25 and 63 25 x 63 = 1575
35 and 45 35 x 45 = 1575

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 1575. They are called negative pair factors.

Hence, the negative pairs of 1575 would be ( -1 , -1575 ) .

Definition of factor pairs?

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 1575 are 1 , 3 , 5 , 7 , 9 , 15 , 21 , 25 , 35 , 45 , 63 , 75 , 105 , 175 , 225 , 315 , 525 , 1575. So, factors of 1575 in pair are (1,1575), (3,525), (5,315), (7,225), (9,175), (15,105), (21,75), (25,63), (35,45).

What are factors?

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.

Properties of Factors

  • Every number is a factor of zero (0), since 1575 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, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575 are exact divisors of 1575.
  • Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575. Each factor divides 1575 without leaving a remainder.

Steps to find Factors of 1575

  • Step 1. Find all the numbers that would divide 1575 without leaving any remainder. Starting with the number 1 upto 787 (half of 1575). The number 1 and the number itself are always factors of the given number.
    1575 ÷ 1 : Remainder = 0
    1575 ÷ 3 : Remainder = 0
    1575 ÷ 5 : Remainder = 0
    1575 ÷ 7 : Remainder = 0
    1575 ÷ 9 : Remainder = 0
    1575 ÷ 15 : Remainder = 0
    1575 ÷ 21 : Remainder = 0
    1575 ÷ 25 : Remainder = 0
    1575 ÷ 35 : Remainder = 0
    1575 ÷ 45 : Remainder = 0
    1575 ÷ 63 : Remainder = 0
    1575 ÷ 75 : Remainder = 0
    1575 ÷ 105 : Remainder = 0
    1575 ÷ 175 : Remainder = 0
    1575 ÷ 225 : Remainder = 0
    1575 ÷ 315 : Remainder = 0
    1575 ÷ 525 : Remainder = 0
    1575 ÷ 1575 : Remainder = 0

Hence, Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, and 1575

Frequently Asked Questions

  • Is 1575 a composite number?

    Yes 1575 is a composite number.

  • Is 1575 a perfect square?

    No 1575 is not a perfect square.

  • Write all odd factors of 1575?

    The factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575.
    Odd factors of 1575 are 1 , 3 , 5 , 7 , 9 , 15 , 21 , 25 , 35 , 45 , 63 , 75 , 105 , 175 , 225 , 315 , 525 , 1575.

  • What is the mean of all prime factors of 1575?

    Factors of 1575 are 1 , 3 , 5 , 7 , 9 , 15 , 21 , 25 , 35 , 45 , 63 , 75 , 105 , 175 , 225 , 315 , 525 , 1575. Prime factors of 1575 are 3 , 3 , 5 , 5 , 7. Therefore mean of prime factors of 1575 is (3 + 3 + 5 + 5 + 7) / 5 = 4.60.

  • 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.

Examples of Factors

How many total number of factors of 1575 in pair are possible?

Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575. Hence, the factors of 1575 in pair are (1,1575), (3,525), (5,315), (7,225), (9,175), (15,105), (21,75), (25,63), (35,45). Therefore, in total 9 pairs of factors are possible.

Help Deep in writing the positive factors of 1575 in pair and negative factor of 1575 in pair.

Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575. Positive factors of 1575 in pair are (1,1575), (3,525), (5,315), (7,225), (9,175), (15,105), (21,75), (25,63), (35,45). Negative factors of 1575 in pair are (-1,-1575), (-3,-525), (-5,-315), (-7,-225), (-9,-175), (-15,-105), (-21,-75), (-25,-63), (-35,-45).

Find the product of all factors of 1575.

Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575. So the product of all factors of 1575 would be 1 x 3 x 5 x 7 x 9 x 15 x 21 x 25 x 35 x 45 x 63 x 75 x 105 x 175 x 225 x 315 x 525 x 1575 = 5.963826811543969e+28.

Find the product of all prime factors of 1575.

Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575. Prime factors are 3, 3, 5, 5, 7. So, the product of all prime factors of 1575 would be 3 x 3 x 5 x 5 x 7 = 1575.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 1575.
- Writing all prime factors of 1575.
- Writing all the possible factors of 1575 in pair.
Help him in writing all these.

Positive factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575.
Prime factors of 1575 are 3, 3, 5, 5, 7.
Factors of 1575 in pair are (1,1575), (3,525), (5,315), (7,225), (9,175), (15,105), (21,75), (25,63), (35,45).

What are the pair factors of 1575?

Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575. Hence, the factors of 1575 in pair are (1,1575), (3,525), (5,315), (7,225), (9,175), (15,105), (21,75), (25,63), (35,45).

Can you help Sammy list the factors of 1575 and also find the factor pairs?

Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575.
Factors of 1575 in pair are (1,1575), (3,525), (5,315), (7,225), (9,175), (15,105), (21,75), (25,63), (35,45).

Sammy has 1575 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 1575 blocks in all possible ways to form a rectangle, we need to calculate factors of 1575 in pair. Therefore, factors of 1575 in pair are (1,1575), (3,525), (5,315), (7,225), (9,175), (15,105), (21,75), (25,63), (35,45)