Factors of 72 are the numbers, which gives the result as 72 as soon as multiplied with each other in a pair that two. For example, 2×3 = 6, claims that 2 and also 3 are the components of 6. Basically, multiples of 72 give an extensive timetable of 72, such together 72, 144, 216, 288, 360, 432, 504, 576, 648 and also so on. To discover the components of a number, 72, we will use the administer method. The factors of 72 deserve to be stood for either in positive or an adverse forms. However the components of 72 cannot be a decimal or fraction. For example, the components of 72 can be (1, 72) or (-1, -72). If us multiply a pair that a negative number, such as multiplying -1 and -72, that will an outcome in the original number 72.
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In this article, we room going to discover the determinants of 72, and also the pair factors and also the prime determinants of 72 making use of the prime factorization technique with numerous solved examples.
Table that Contents:
What room the determinants of 72?
The factors of 72 space the number that division 72 specifically without leaving any type of remainder. In various other words, the determinants of 72 are the numbers that are multiplied in pairs bring about an original number 72. As the number 72 is a composite number, the has plenty of factors other than one and the number itself. For this reason the determinants of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and also 72.
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and also 72. Prime factorization of 72: 2 × 2 × 2 × 3 × 3 or 23 × 32 |
Pair factors of 72
The pair determinants of 72 are the pair the numbers, which room multiplied together causing an original number 72. The pair determinants of 72 have the right to be positive pair or negative pair. If we multiply the pair of negative numbers, that will an outcome in an original number 72. Thus, the positive and also the negative pair determinants of 72 are as follows:
Positive Pair factors of 72:
Positive components of 72 | Positive Pair factors of 72 |
1 × 72 | (1, 72) |
2 × 36 | (2, 36) |
3 × 24 | (3, 24) |
4 × 18 | (4, 18) |
6 × 12 | (6, 12) |
8 × 9 | (8, 9) |
Hence, the hopeful pair components of 72 room (1, 72), (2, 36), (3, 24), (4, 18), (6, 12) and (8, 9).
Negative Pair components of 72:
Negative factors of 72 | Negative Pair factors of 72 |
-1 × -72 | (-1, -72) |
-2 × -36 | (-2, -36) |
-3 × -24 | (-3, -24) |
-4 × -18 | (-4, -18) |
-6 × -12 | (-6, -12) |
-8 × -9 | (-8, -9) |
Hence, the negative pair components of 72 room (-1, -72), (-2, -36), (-3, -24), (-4, -18), (-6, -12) and (-8, -9).
Prime factorization of 72
The number 72 is a composite number. Now let us discover the element factorisation the this number.
The very first step is to divide the number 72 with the the smallest prime factor,i.e. 2.72 ÷ 2 = 36
Again, division 36 by 2.
36 ÷ 2 = 18
18 ÷ 2 = 9
Now, if we division 9 through 2 we gain a fraction number, which can not be a factor.
Now, proceed to the next prime numbers, i.e. 3.9 ÷ 3 = 3
3 ÷ 3 = 1
Links regarded Factors | |
Factors the 15 | Factors that 36 |
Factors the 48 | Factors the 18 |
Factors the 42 | Factors of 60 |
Factors the 35 | Factors the 24 |
Factors that 84 | Factors that 50 |
Examples
Example 1:
Find the common factors that 72 and 71.
Solution:
The components of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and also 72.
The determinants of 71 space 1 and 71.
Thus, the usual factor of 72 and also 71 is 1.
Example 2:
Find the common factors of 72 and also 73.
Solution:
Factors the 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
Factors that 73 = 1 and 73.
As 73 is a prime number, the usual factor the 72 and 73 is 1.
Example 3:
Find the typical factors of 72 and 70.
Solution:
The components of 72 space 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
The components of 70 room 1, 2, 5, 7, 10, 14, 35, 70
Therefore, the usual factors the 70 and also 72 room 1 and 2.
Practice Questions
Find the common factors that 72 and 36.What is the typical factor that 72 and 144?What is the sum of all the factors of 72?What room the prime factors of 72?Find the usual factors of 72 and also 30.Learn much more about factors and prime factors here through us in BYJU’S and likewise download BYJU’S – The Learning app for a much better experience.
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Frequently Asked questions on factors of 72
What space the determinants of 72?
The factors of 72 room 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.