Factors of 1512 are the list of integers that we can split evenly into 1512. There are overall 32 factors of 1512 among which 1512 is the biggest factor and 2, 3, 7 are its prime factors. The Prime Factorization of 1512 is 2³ × 3³ × 7¹.

• All Factors of 1512: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756 and 1512
• Prime Factors of 1512: 2, 3, 7
• Prime Factorization of 1512: 2³ × 3³ × 7¹
• Sum of Factors of 1512: 4800

1.	What Are the Factors of 1512?
2.	Factors of 1512 by Prime Factorization
3.	Factors of 1512 in Pairs
4.	FAQs on Factors of 1512

Factors of 1512 are pairs of those numbers whose products result in 1512. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1512?

To find the factors of 1512, we will have to find the list of numbers that would divide 1512 without leaving any remainder.

• 1512/28 = 54; therefore, 28 is a factor of 1512 and 54 is also a factor of 1512.
• 1512/8 = 189; therefore, 8 is a factor of 1512 and 189 is also a factor of 1512.

Similarly we can find other factors. Hence, the factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512.

☛ Also Check:

• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 23 - The factors of 23 are 1, 23
• Factors of 9 - The factors of 9 are 1, 3, 9
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 27 - The factors of 27 are 1, 3, 9, 27

The number 1512 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1512. The first step is to divide the number 1512 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1512 ÷ 2 = 756
• 756 ÷ 2 = 378
• 378 ÷ 2 = 189

Further dividing 189 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 189 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 1512 can be written as 2³ × 3³ × 7¹ where 2, 3, 7 are prime.

Pair factors of 1512 are the pairs of numbers that when multiplied give the product 1512. The factors of 1512 in pairs are:

• 1 × 1512 = (1, 1512)
• 2 × 756 = (2, 756)
• 3 × 504 = (3, 504)
• 4 × 378 = (4, 378)
• 6 × 252 = (6, 252)
• 7 × 216 = (7, 216)
• 8 × 189 = (8, 189)
• 9 × 168 = (9, 168)
• 12 × 126 = (12, 126)
• 14 × 108 = (14, 108)
• 18 × 84 = (18, 84)
• 21 × 72 = (21, 72)
• 24 × 63 = (24, 63)
• 27 × 56 = (27, 56)
• 28 × 54 = (28, 54)
• 36 × 42 = (36, 42)

Negative pair factors of 1512 are:

• -1 × -1512 = (-1, -1512)
• -2 × -756 = (-2, -756)
• -3 × -504 = (-3, -504)
• -4 × -378 = (-4, -378)
• -6 × -252 = (-6, -252)
• -7 × -216 = (-7, -216)
• -8 × -189 = (-8, -189)
• -9 × -168 = (-9, -168)
• -12 × -126 = (-12, -126)
• -14 × -108 = (-14, -108)
• -18 × -84 = (-18, -84)
• -21 × -72 = (-21, -72)
• -24 × -63 = (-24, -63)
• -27 × -56 = (-27, -56)
• -28 × -54 = (-28, -54)
• -36 × -42 = (-36, -42)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.