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Why is 6 a factor of 72?
Because 6 times 12 is 72. A number, when multiplied by another number, is a factor of the new number.
What is the product number of 72?
5184 because 72squared(72 times 72)= 5184
What Number times by itself gives 5184?
72 x 72 = 5,184
What number time 9 equals 72?
8 times 9 = 72
Is 72 a hcf of six and LCM of 252?
No. It can be neither. HCF is Highest Common Factor; a factor of a number is a number which divides into it with no remainder. Thus all factors are less than or equal to the number. 72 is greater than 6, therefore it cannot be a factor of 6, nor the Highest Common Factor of 6 and another number. LCM is Lowest Common Multiple; a multiple of a number is that number times some other number. Thus all multiples are greater than or equal to the number. 72 is less than 252, therefore it cannot be a multiple of 252, nor can it be the Lowest Common Multiple of 252 and another number. However, 6 is a factor of 72, thus 6 could be the HCF of 72 and another number, eg hcf(30, 72) = 6. But 252 is not a multiple of 72, so 252 could not be a LCM of 72 and some other number.
