What Are The Factors Of 90: Prime Factors Of 90

What Are The Factors Of 90: Prime Factors Of 90

what are the factors of 90? You are searching for the answer for 90 factorizations. Finding the factors of a number is easy as factors are just the numbers that divide the number equally leaving no remainders. Let us just not waste time and know the numbers that are factors of 90.

What Are The Factors Of 90?

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90. The factors are the number that divides the number in such a way that there is no remainder left.

So all factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90. Now 

  • 1(90➗1=90)
  • 2(90➗2=45)
  • 3(90➗3=30)
  • 5(90➗5=18)
  • 6(90➗6=15)
  • 9(90➗9=10)
  • 10(90➗10=9)
  • 15(90➗15=6)
  • 18(90➗18=5)
  • 30(90➗30=3)
  • 45(90➗45=2)
  • 90(90➗90=1)

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

After knowing what all the factors of 90 are let us know more about the 90 factors

Prime Factors Of 90

To know the prime factors of 90, first, you should know which are the prime numbers up to 90. After that, we have to divide 90 by all prime numbers. Now We are going to calculate the prime factors by factorization of the 90 methods.

  • 90➗2 = 37.5
  • 90➗3 = 25
  • 90➗5 = 15 
  • 90➗7 = 10.71
  • 90➗13 = 5.76
  • Continue the same with the rest prime numbers which are the following 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89

So the prime factor for the number 90 is 2, 3 and 5

Factors Of 90 In Pairs

The product of the number whose result will be 90, that number is nothing but the pair factors of 90.

  • 1×90=90
  • 2×45=90
  • 3×30=90
  • 5×18=90
  • 6×15=90
  • 9×10=90
  • 10×9=90
  • 15×6=90
  • 18×5=90
  • 30×3=90
  • 45×2=90
  • 90×1=90

So the pair factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Factors Of -90

The negative numbers of factors of 90 are called factors of -90.

Below You can see the numbers.

  • -1(-90➗-1=-90)
  • -2(-90➗-2=-45)
  • -3(-90➗-3=-30)
  • -5(-90➗-5=-18)
  • -6(-90➗-6=-15)
  • -9(-90➗-9=-10)
  • -10(-90➗-10=9)
  • -15(-90➗-15=6)
  • -18(-90➗-18=5)
  • -30(-90➗-30=3)
  • -45(-90➗-45=2)
  • -90(-90➗-90=1)

The Factors for -90 are -1, -2, -3, -5, -6, -9, -10, -15, -18, -30, -45, -90

Factors Of 90 And Other Numbers

Here are the factors of 90 and other numbers.

The Factors For 90 And 75

The factors for 90 and 100 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

  • 90 factors – 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
  • 100 factors – 1, 3, 5, 15, 25, 75

HCF of  90 and 100  = 15

The Factors Of 90 that add up to 19

The factors of 90 add up to 19 are 9 and 10

  • 9×10 = 90
  • 9+10 = 90

The Factors Of 90 that add up to 21

The factors of 90 add up to 19 are 9 and 10

  • 6×15 = 90
  • 6+15 = 90

Common Factors Of 75 With Other Numbers

Here are some of the common factors of 75 with some other numbers

Common Factors Of 90 And 270

The common factor for 90 and 270 are 2, 3, 5, 6, 9, 10, 15, 18, 30, 45

  • 90 factors – 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
  • 270 factors – 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Common Factors Of 90 And 60

The common factor for 90 and 60 are 2, 3, 5, 6, 10, 15, 30

  • 90 factors – 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
  • 60 factors – 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Common Factors Of 90 And 150

The common factor for 90 and 150 are 2, 3, 5, 6, 10, 15, 30

  • 90 factors – 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
  • 48 factors – 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Common Factors Of 90 And 45

The common factors for 90 and 45 are 5, 15, 45

  • 90 factors – 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
  • 45 factors – 1, 3, 5, 9, 15, 45

Common Factors Of 90 And 36

The common factors for 90 and 135 are 3, and 6

  • 90 factors – 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
  • 36 factors – 2, 3, 4, 6, 9, 12, 18

Product of Prime Factors of 90

The product’s prime factors of 90 is 30

  • 2 x 3 x 5 = 30

All factors for the numbers can be seen here on Factorsweb

FAQ

Which Factor Of 90 Is A Prime Number?

The factors of 90 that re prime number are 2, 3, and 5

How Many Primes Are There In 90?

There are 24 prime numbers from 1 to 90 which are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, and 89

What Are The Factors Of 90?

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

What Are The Prime Numbers?

The prime numbers from 1 to 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. 

Conclusion

You came here in the search of factors of 90. I have not only given you the answer for factor numbers for 90  I have also given you prime factors of 90. You have learned how to find the highest common factor and common factor of 90 with other numbers too. Knowing factors of 90 will help you solve many sums in maths.

Berry Mathew