First, we notice it is even. Write 2 as a prime factor and divide it out.
Now we have 27, which we notice is divisible by 3.
We divide by 3 until we can't, and notice we do it three times and end up at 1.
When we have 1, then we know all the prime factors.
In this case, we have 54 = 2*3*3*3 = 2*33.= 21*33
Notice the exponents are 1 and 3
So we add one to these and multiply: 2*4 = 8.
This means 54 has 8 factors, so we'll know if we miss any.
To find the factors, just look for all the ways we can multiply with one 2 and three 3s.
We have, 1, 2, 3, 6, 9, 18, 27, and 54.
As there are eight, we know we didn't miss any.
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54.
In order to show that a number is composite there is no need to find all the factors, we have to show only that it has more than two factors. 54 is divisible by 2, 3, 6 etc. which clearly shows that it has more than two factors.
Common factors of 36 and 54 are: 1, 2, 3, 6, 9, and 18.
The common factors are: 1, 2, 3, 6.
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54 The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
1,2,3,6,9,18,27 and 54
Clearly, one way to find the 'greatest common factor' of two or more integers would be to find all their factors, and hence all their common factors, and hence their highest common factor.For example, find the GCF of 54 and 24.Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54.Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.Common factors of 54 and 24: 1, 2, 3, 6. So the GCF of 54 and 24 is 6.
Since 18 is a factor of 54, all of its factors are common.
Multiply prime squares by themselves. 24, 34, 54 all have five factors.
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54.
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54.
They are: 233*3 = 54
Since 18 is a factor of 54, all of its factors are common.
The common factors of 28 and 54 are: 1, 2
GCD: 27 LCM: 162 All common factors of 81 and 54 are all multiples of their LCM.
Since 54 is a factor of 108, all of 54's factors are common and the GCF is 54 itself.