To factor 72, we divide by successive prime numbers until we end up with 1:
72 / 2 = 36 (still divisible by 2)
36 / 2 = 18 (still divisible by 2)
18 / 2 = 9 (not divisible by 2, try 3)
9 / 3 = 3 (still divisible by 3)
3 / 3 = 1 (at 1, done factoring)
so, in simplest form, 72 factors to:
2 x 2 x 2 x 3 x 3 or 2^3 x 3^2
To see all of the factors, one creates unique combinations of all factors above, including 1 and the number itself:
1
2
3
2 x 2 = 4
2 x 3 = 6
2 x 2 x 2 = 8
3 x 3 = 9
2 x 2 x 3 = 12
2 x 3 x 3 = 18
2 x 2 x 2 x 3 = 24
2 x 2 x 3 x 3 = 36
72
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. All of the factors of 36 are also factors of 72.
Since 36 is a factor of 72, all of its factors are included in the factors of 72.
Since 18 is a factor of 72, all of its factors are common.
Divide 6 into 72. If the answer has no remainder, 6 is a factor.
First of all, you're not clear on the meaning of "common factors",and you need to brush up on the whole concept.The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
find all factors of 72
90
Apart from 1, all of the other factors of 72 are multiples of prime factors.
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. All of the factors of 36 are also factors of 72.
Since 36 is a factor of 72, all of its factors are included in the factors of 72.
Every factor of 24 is a factor of 72, since 24 is itself a factor of 72. The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
The prime factors of 72 are 2 and 3.
Since 12 is a factor of 72, all of its factors are common.
Common factors of 72 and 80 are: 1, 2, 4, and 8.
The factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
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All of them except "1."