Factors the 72 space the numbers, which provides the result as 72 when multiplied with each other in a pair of two. For example, 2×3 = 6, states that 2 and also 3 room the determinants of 6. Basically, multiples the 72 give an extensive timetable of 72, such together 72, 144, 216, 288, 360, 432, 504, 576, 648 and so on. To discover the factors of a number, 72, we will use the factorization method. The determinants of 72 have the right to be stood for either in positive or an adverse forms. Yet the determinants of 72 cannot be a decimal or fraction. Because that example, the determinants of 72 deserve to be (1, 72) or (-1, -72). If we multiply a pair of a an unfavorable number, such as multiplying -1 and -72, the will result in the original number 72.
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In this article, we room going to discover the factors of 72, and the pair factors and the prime determinants of 72 utilizing the prime factorization technique with countless solved examples.
Table the Contents:
What are the factors of 72?
The components of 72 room the number that divide 72 precisely without leaving any kind of remainder. In other words, the components of 72 are the numbers that space multiplied in pairs leading to an original number 72. As the number 72 is a composite number, it has countless factors various other than one and the number itself. For this reason the factors of 72 room 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and also 72.
Factors that 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72. Prime administer of 72: 2 × 2 × 2 × 3 × 3 or 23 × 32 |
Pair determinants of 72
The pair determinants of 72 are the pair of numbers, which space multiplied together leading to an initial number 72. The pair components of 72 deserve to be positive pair or an unfavorable pair. If us multiply the pair of an unfavorable numbers, that will result in an original number 72. Thus, the positive and the an adverse pair factors of 72 room as follows:
Positive Pair factors of 72:
Positive components of 72 | Positive Pair determinants 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 confident pair factors of 72 space (1, 72), (2, 36), (3, 24), (4, 18), (6, 12) and also (8, 9).
Negative Pair components of 72:
Negative determinants of 72 | Negative Pair determinants 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 an adverse pair components of 72 space (-1, -72), (-2, -36), (-3, -24), (-4, -18), (-6, -12) and (-8, -9).
Prime administrate of 72
The number 72 is a composite number. Currently let us find the prime factorisation of this number.
The first step is to division the number 72 through the smallest prime factor,i.e. 2.72 ÷ 2 = 36
Again, division 36 by 2.
36 ÷ 2 = 18
18 ÷ 2 = 9
Now, if we divide 9 by 2 we obtain a fraction number, which can not be a factor.
Now, continue to the following prime numbers, i.e. 3.9 ÷ 3 = 3
3 ÷ 3 = 1
Links pertained to Factors | |
Factors the 15 | Factors the 36 |
Factors that 48 | Factors that 18 |
Factors the 42 | Factors that 60 |
Factors the 35 | Factors that 24 |
Factors of 84 | Factors of 50 |
Examples
Example 1:
Find the common factors that 72 and also 71.
Solution:
The factors of 72 room 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and also 72.
The determinants of 71 are 1 and also 71.
Thus, the usual factor that 72 and 71 is 1.
Example 2:
Find the typical factors that 72 and 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 also 73 is 1.
Example 3:
Find the common factors that 72 and 70.
Solution:
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
Therefore, the typical factors that 70 and 72 are 1 and also 2.
Practice Questions
Find the common factors the 72 and also 36.What is the usual factor of 72 and 144?What is the sum of every the components of 72?What space the prime components of 72?Find the typical factors the 72 and also 30.Learn an ext about factors and also prime components here with us in BYJU’S and also download BYJU’S – The Learning application for a far better experience.
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Frequently Asked concerns on factors of 72
What room the factors of 72?
The determinants of 72 space 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.