Factors of 350 in pair are (1, 350) , (2, 175) , (5, 70) , (7, 50) , (10, 35) and (14, 25)

How to find factors of a number in pair

Steps to find factors of 350 in pair

Example: Find factors of 350 in pair

Factor Pair Pair Factorization
1 and 350 1 x 350 = 350
2 and 175 2 x 175 = 350
5 and 70 5 x 70 = 350
7 and 50 7 x 50 = 350
10 and 35 10 x 35 = 350
14 and 25 14 x 25 = 350

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 350. They are called negative pair factors.

Hence, the negative pairs of 350 would be ( -1 , -350 ) .

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 350 are 1 , 2 , 5 , 7 , 10 , 14 , 25 , 35 , 50 , 70 , 175 , 350. So, factors of 350 in pair are (1,350), (2,175), (5,70), (7,50), (10,35), (14,25).

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

  • Each number is a factor of itself. Eg. 350 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, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350 are exact divisors of 350.
  • 1 is a factor of every number. Eg. 1 is a factor of 350.
  • Every number is a factor of zero (0), since 350 x 0 = 0.

Steps to find Factors of 350

  • Step 1. Find all the numbers that would divide 350 without leaving any remainder. Starting with the number 1 upto 175 (half of 350). The number 1 and the number itself are always factors of the given number.
    350 ÷ 1 : Remainder = 0
    350 ÷ 2 : Remainder = 0
    350 ÷ 5 : Remainder = 0
    350 ÷ 7 : Remainder = 0
    350 ÷ 10 : Remainder = 0
    350 ÷ 14 : Remainder = 0
    350 ÷ 25 : Remainder = 0
    350 ÷ 35 : Remainder = 0
    350 ÷ 50 : Remainder = 0
    350 ÷ 70 : Remainder = 0
    350 ÷ 175 : Remainder = 0
    350 ÷ 350 : Remainder = 0

Hence, Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, and 350

Frequently Asked Questions

  • Is 350 a composite number?

    Yes 350 is a composite number.

  • Is 350 a prime number?

    No 350 is not a prime number.

  • Is 350 a perfect square?

    No 350 is not a perfect square.

  • Write five multiples of 350.

    Five multiples of 350 are 700, 1050, 1400, 1750, 2100.

  • Write all odd factors of 350?

    The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350.
    Odd factors of 350 are 1 , 5 , 7 , 25 , 35 , 175.

Examples of Factors

Can you help Rubel in arranging 350 blocks in order to form a rectangle in all possible ways? For arranging 350 blocks in order to form a rectangle in all possible ways we need to find factors of 350 in pair.

Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. So, factors of 350 in pair are (1,350), (2,175), (5,70), (7,50), (10,35), (14,25).

Ariel has been asked to write all factor pairs of 350 but she is finding it difficult. Can you help her find out?

Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. So, factors of 350 in pair are (1,350), (2,175), (5,70), (7,50), (10,35), (14,25).

How many total number of factors of 350 in pair are possible?

Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. Hence, the factors of 350 in pair are (1,350), (2,175), (5,70), (7,50), (10,35), (14,25). Therefore, in total 6 pairs of factors are possible.

Sammy wants to write all the negative factors of 350 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 350 are -1, -2, -5, -7, -10, -14, -25, -35, -50, -70, -175, -350. Hence, factors of 350 in pair are (-1,-350), (-2,-175), (-5,-70), (-7,-50), (-10,-35), (-14,-25).

Help Deep in writing the positive factors of 350 in pair and negative factor of 350 in pair.

Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. Positive factors of 350 in pair are (1,350), (2,175), (5,70), (7,50), (10,35), (14,25). Negative factors of 350 in pair are (-1,-350), (-2,-175), (-5,-70), (-7,-50), (-10,-35), (-14,-25).

Find the product of all factors of 350.

Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. So the product of all factors of 350 would be 1 x 2 x 5 x 7 x 10 x 14 x 25 x 35 x 50 x 70 x 175 x 350 = 1838265625000000.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 350.
- Writing all prime factors of 350.
- Writing all the possible factors of 350 in pair.
Help him in writing all these.

Positive factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350.
Prime factors of 350 are 2, 5, 5, 7.
Factors of 350 in pair are (1,350), (2,175), (5,70), (7,50), (10,35), (14,25).

Can you help Sammy list the factors of 350 and also find the factor pairs?

Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350.
Factors of 350 in pair are (1,350), (2,175), (5,70), (7,50), (10,35), (14,25).