Factors of 90 that add upto 45 are 2, 3, 10, and 30

How to find factors of 90 that add upto 45

Steps to find factors of 90 that add upto 45

Example: Find factors of 90 that add upto 45

  • Sum of 2, 3, 10, and 30 : 2 + 3 + 10 + 30 = 45

Hence, factors of 90 that add upto 45 are 2, 3, 10, and 30.

Steps to find Factors of 90

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

Hence, Factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90

How do you explain factors?

In mathematics, the term factor is a number or an algebraic expression that divides another number or an expression completely without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 90 is a factor of itself.
  • 2 is the only even prime factor any number can have.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 are exact divisors of 90.
  • 1 is the common and smallest natural factor every number can have.
  • Every number is a factor of zero (0), since 90 x 0 = 0.

Examples

How many factors are there for 90?

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

Raju wishes to write all the prime factors of 90. Can you assist him in doing the same?

Factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
Prime factors of 90 are 2, 3, 3, 5.

Can you assist Aubrey in finding factors of 90 that add upto 45?

Factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
Factors of 90 that add upto 45 are 2, 3, 10, 30, as 2 + 3 + 10 + 30 = 45.

Can you help Diji in finding sum of all even factors of 90?

Factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
Even factors of 90 are 2, 6, 10, 18, 30, 90.
Hence, sum of even factors of 90 is; 2 + 6 + 10 + 18 + 30 + 90 = 156.

Help Ashi in writing the negative pair factors of 90?

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

Rubel's teacher has asked her to find the factors of 90 and to write the positive factors and negative factors of 90. But she doesn't know how to get started help Rubel in finding the same.

Positive factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90. Negative factors of 90 are -1, -2, -3, -5, -6, -9, -10, -15, -18, -30, -45, -90.

Write the correct prime factorization pattern of 90?

Correct prime factorization pattern of 90 is 2 x 32 x 5.