Factors of 1512 in pair

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Factors of 1512 in pair are (1, 1512) , (2, 756) , (3, 504) , (4, 378) , (6, 252) , (7, 216) , (8, 189) , (9, 168) , (12, 126) , (14, 108) , (18, 84) , (21, 72) , (24, 63) , (27, 56) , (28, 54) and (36, 42)

How to find factors of a number in pair

Steps to find factors of 1512 in pair

Find all the numbers that would divide 1512 without leaving any remainder. Starting with the number 1 upto 756 (half of 1512). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1512, and read off the answer!

Example: Find factors of 1512 in pair

Factor Pair	Pair Factorization
1 and 1512	1 x 1512 = 1512
2 and 756	2 x 756 = 1512
3 and 504	3 x 504 = 1512
4 and 378	4 x 378 = 1512
6 and 252	6 x 252 = 1512
7 and 216	7 x 216 = 1512
8 and 189	8 x 189 = 1512
9 and 168	9 x 168 = 1512
12 and 126	12 x 126 = 1512
14 and 108	14 x 108 = 1512
18 and 84	18 x 84 = 1512
21 and 72	21 x 72 = 1512
24 and 63	24 x 63 = 1512
27 and 56	27 x 56 = 1512
28 and 54	28 x 54 = 1512
36 and 42	36 x 42 = 1512

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 1512. They are called negative pair factors.

Hence, the negative pairs of 1512 would be ( -1 , -1512 ) .

How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- 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. So, factors of 1512 in pair are (1,1512), (2,756), (3,504), (4,378), (6,252), (7,216), (8,189), (9,168), (12,126), (14,108), (18,84), (21,72), (24,63), (27,56), (28,54), (36,42).

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 1512 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1512.
Every number is a factor of zero (0), since 1512 x 0 = 0.
Every number other than 1 has at least two factors, namely the number itself and 1.
Every factor of a number is an exact divisor of that number, example 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 are exact divisors of 1512.
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. Each factor divides 1512 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 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 are all less than or equal to 1512.

Steps to find Factors of 1512

Step 1. Find all the numbers that would divide 1512 without leaving any remainder. Starting with the number 1 upto 756 (half of 1512). The number 1 and the number itself are always factors of the given number.

1512 ÷ 1 : Remainder = 0

1512 ÷ 2 : Remainder = 0

1512 ÷ 3 : Remainder = 0

1512 ÷ 4 : Remainder = 0

1512 ÷ 6 : Remainder = 0

1512 ÷ 7 : Remainder = 0

1512 ÷ 8 : Remainder = 0

1512 ÷ 9 : Remainder = 0

1512 ÷ 12 : Remainder = 0

1512 ÷ 14 : Remainder = 0

1512 ÷ 18 : Remainder = 0

1512 ÷ 21 : Remainder = 0

1512 ÷ 24 : Remainder = 0

1512 ÷ 27 : Remainder = 0

1512 ÷ 28 : Remainder = 0

1512 ÷ 36 : Remainder = 0

1512 ÷ 42 : Remainder = 0

1512 ÷ 54 : Remainder = 0

1512 ÷ 56 : Remainder = 0

1512 ÷ 63 : Remainder = 0

1512 ÷ 72 : Remainder = 0

1512 ÷ 84 : Remainder = 0

1512 ÷ 108 : Remainder = 0

1512 ÷ 126 : Remainder = 0

1512 ÷ 168 : Remainder = 0

1512 ÷ 189 : Remainder = 0

1512 ÷ 216 : Remainder = 0

1512 ÷ 252 : Remainder = 0

1512 ÷ 378 : Remainder = 0

1512 ÷ 504 : Remainder = 0

1512 ÷ 756 : Remainder = 0

1512 ÷ 1512 : Remainder = 0

Hence, 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, and 1512

Frequently Asked Questions

Is 1512 a composite number?
Yes 1512 is a composite number.
Is 1512 a prime number?
No 1512 is not a prime number.
What is the mean of factors of 1512?
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. therefore mean of factors of 1512 is (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) / 32 = 150.00.
What do you mean by proper divisors?
A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.
What do you mean by improper divisors?
An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Ariel has been asked to write all factor pairs of 1512 but she is finding it difficult. Can you help her find out?

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. So, factors of 1512 in pair are (1,1512), (2,756), (3,504), (4,378), (6,252), (7,216), (8,189), (9,168), (12,126), (14,108), (18,84), (21,72), (24,63), (27,56), (28,54), (36,42).

Sammy wants to write all the negative factors of 1512 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative 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. Hence, factors of 1512 in pair are (-1,-1512), (-2,-756), (-3,-504), (-4,-378), (-6,-252), (-7,-216), (-8,-189), (-9,-168), (-12,-126), (-14,-108), (-18,-84), (-21,-72), (-24,-63), (-27,-56), (-28,-54), (-36,-42).

Help Deep in writing the positive factors of 1512 in pair and negative factor of 1512 in pair.

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. Positive factors of 1512 in pair are (1,1512), (2,756), (3,504), (4,378), (6,252), (7,216), (8,189), (9,168), (12,126), (14,108), (18,84), (21,72), (24,63), (27,56), (28,54), (36,42). Negative factors of 1512 in pair are (-1,-1512), (-2,-756), (-3,-504), (-4,-378), (-6,-252), (-7,-216), (-8,-189), (-9,-168), (-12,-126), (-14,-108), (-18,-84), (-21,-72), (-24,-63), (-27,-56), (-28,-54), (-36,-42).

Find the product of all factors of 1512.

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. So the product of all factors of 1512 would be 1 x 2 x 3 x 4 x 6 x 7 x 8 x 9 x 12 x 14 x 18 x 21 x 24 x 27 x 28 x 36 x 42 x 54 x 56 x 63 x 72 x 84 x 108 x 126 x 168 x 189 x 216 x 252 x 378 x 504 x 756 x 1512 = 7.46154321519303e+50.

Find the product of all prime factors of 1512.

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. Prime factors are 2, 2, 2, 3, 3, 3, 7. So, the product of all prime factors of 1512 would be 2 x 2 x 2 x 3 x 3 x 3 x 7 = 1512.

Can you help Sammy list the factors of 1512 and also find the factor pairs?

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.
Factors of 1512 in pair are (1,1512), (2,756), (3,504), (4,378), (6,252), (7,216), (8,189), (9,168), (12,126), (14,108), (18,84), (21,72), (24,63), (27,56), (28,54), (36,42).

Sammy has 1512 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 1512 blocks in all possible ways to form a rectangle, we need to calculate factors of 1512 in pair. Therefore, factors of 1512 in pair are (1,1512), (2,756), (3,504), (4,378), (6,252), (7,216), (8,189), (9,168), (12,126), (14,108), (18,84), (21,72), (24,63), (27,56), (28,54), (36,42)