The factors of 252 are the set of natural numbers that give 252 when multiplied by one another. The two numbers undergoing multiplication constitute a factor pair. The factors of 252 can also be defined as the set of natural numbers that make the number 252 completely divisible upon them. The only condition is that such numbers are bound to leave zero as the remainder and a whole number quotient to be labeled as "factors."
A factor is a number that divides the given number without leaving a remainder, so the numbers which give the remainder as 0 when divided by 252 will be the factors of 252. For example: 252 ÷ 2 = 126. Here we get the quotient 126 and the remainder is 0. Hence 2 and 126 are the factors of 252.
To calculate the factors of 252 we have to find the numbers which when divided by 252 give the remainder as 0. We will start dividing 252 with Natural numbers i.e., 1, 2, 3, …. Up to 126 (Half of 252). So, all the numbers which will provide the remainder as 0 will be the factors of 252. This method is known as Division Method. The table below provides the representation of the above method.
Division
Factor
252 ÷ 1
Remainder = 0
Hence, Factor = 1
252 ÷ 2
Remainder = 0
Hence, Factor = 2
252 ÷ 3
Remainder = 0
Hence, Factor = 3
252 ÷ 4
Remainder = 0
Hence, Factor = 4
252 ÷ 6
Remainder = 0
Hence, Factor = 6
252 ÷ 7
Remainder = 0
Hence, Factor = 7
252 ÷ 9
Remainder = 0
Hence, Factor = 9
252 ÷ 12
Remainder = 0
Hence, Factor = 12
252 ÷ 14
Remainder = 0
Hence, Factor = 14
252 ÷ 18
Remainder = 0
Hence, Factor = 18
252 ÷ 21
Remainder = 0
Hence, Factor = 21
252 ÷ 28
Remainder = 0
Hence, Factor = 4
252 ÷ 36
Remainder = 0
Hence, Factor = 36
252 ÷ 42
Remainder = 0
Hence, Factor = 42
252 ÷ 63
Remainder = 0
Hence, Factor = 63
252 ÷ 84
Remainder = 0
Hence, Factor = 84
252 ÷ 126
Remainder = 0
Hence, Factor = 126
252 ÷ 252
Remainder = 0
Hence, Factor = 252
Therefore, the factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252.
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