Steps to find factors of 180 that add upto 31

Example: Find factors of 180 that add upto 31

  • Sum of 1 and 30 : 1 + 30 = 31

Hence, factors of 180 that add upto 31 are 1 and 30.

Steps to find Factors of 180

  • Step 1. Find all the numbers that would divide 180 without leaving any remainder. Starting with the number 1 upto 90 (half of 180). The number 1 and the number itself are always factors of the given number.
    180 ÷ 1 : Remainder = 0
    180 ÷ 2 : Remainder = 0
    180 ÷ 3 : Remainder = 0
    180 ÷ 4 : Remainder = 0
    180 ÷ 5 : Remainder = 0
    180 ÷ 6 : Remainder = 0
    180 ÷ 9 : Remainder = 0
    180 ÷ 10 : Remainder = 0
    180 ÷ 12 : Remainder = 0
    180 ÷ 15 : Remainder = 0
    180 ÷ 18 : Remainder = 0
    180 ÷ 20 : Remainder = 0
    180 ÷ 30 : Remainder = 0
    180 ÷ 36 : Remainder = 0
    180 ÷ 45 : Remainder = 0
    180 ÷ 60 : Remainder = 0
    180 ÷ 90 : Remainder = 0
    180 ÷ 180 : Remainder = 0

Hence, Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180

What are factors?

In mathematics, the term factor is used for that number which divides the other number to leave 0 as a remainder. A factor of a number can be positive or negative.

Properties of Factors

  • Factors and multiples are two different terms. Factors are those number which when multiplied together give the number itself, on the other hand multiples are what we get after multiplying the same number with and other number.
  • Prime factors are those factors which are further divisible by only two numbers i.e. 1 ans the factor itself.
  • Every number is a factor of zero (0), since 180 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, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180 are exact divisors of 180.

Examples

How many factors are there for 180?

Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.
So there are in total 18 factors.

Raju wishes to write all the prime factors of 180. Can you assist him in doing the same?

Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.
Prime factors of 180 are 2, 2, 3, 3, 5.

Rustom is wondering to find the factors of 180 that add upto 31, but is stuck. Assist Rustom in writing the same.

Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.
Factors of 180 that add upto 31 are 1, 30, as 1 + 30 = 31.

Help Rudolph in finding the product of factors of 180?

Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.
Therefore, product of factors of 180 is; 1 x 2 x 3 x 4 x 5 x 6 x 9 x 10 x 12 x 15 x 18 x 20 x 30 x 36 x 45 x 60 x 90 x 180 = 198359290368000000000.

What is the largest factors of 180?

Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180. Largest factor f 180 is 180.

Help Ashi in writing the negative pair factors of 180?

Negative factors of 180 are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -30, -36, -45, -60, -90, -180. Hence, factors of 180 in pair are (-1,-180), (-2,-90), (-3,-60), (-4,-45), (-5,-36), (-6,-30), (-9,-20), (-10,-18), (-12,-15).

Write the correct prime factorization pattern of 180?

Correct prime factorization pattern of 180 is 22 x 32 x 5.