Factors of 1248 in pair

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Factors of 1248 in pair are (1, 1248) , (2, 624) , (3, 416) , (4, 312) , (6, 208) , (8, 156) , (12, 104) , (13, 96) , (16, 78) , (24, 52) , (26, 48) and (32, 39)

How to find factors of a number in pair

Steps to find factors of 1248 in pair

Find all the numbers that would divide 1248 without leaving any remainder. Starting with the number 1 upto 624 (half of 1248). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1248, and read off the answer!

Example: Find factors of 1248 in pair

Factor Pair	Pair Factorization
1 and 1248	1 x 1248 = 1248
2 and 624	2 x 624 = 1248
3 and 416	3 x 416 = 1248
4 and 312	4 x 312 = 1248
6 and 208	6 x 208 = 1248
8 and 156	8 x 156 = 1248
12 and 104	12 x 104 = 1248
13 and 96	13 x 96 = 1248
16 and 78	16 x 78 = 1248
24 and 52	24 x 52 = 1248
26 and 48	26 x 48 = 1248
32 and 39	32 x 39 = 1248

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 1248. They are called negative pair factors.

Hence, the negative pairs of 1248 would be ( -1 , -1248 ) .

What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 1248 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 13 , 16 , 24 , 26 , 32 , 39 , 48 , 52 , 78 , 96 , 104 , 156 , 208 , 312 , 416 , 624 , 1248. So, factors of 1248 in pair are (1,1248), (2,624), (3,416), (4,312), (6,208), (8,156), (12,104), (13,96), (16,78), (24,52), (26,48), (32,39).

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of Factors

Each number is a factor of itself. Eg. 1248 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 1248.
Every number is a factor of zero (0), since 1248 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, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248 are exact divisors of 1248.
Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248. Each factor divides 1248 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248 are all less than or equal to 1248.

Steps to find Factors of 1248

Step 1. Find all the numbers that would divide 1248 without leaving any remainder. Starting with the number 1 upto 624 (half of 1248). The number 1 and the number itself are always factors of the given number.

1248 ÷ 1 : Remainder = 0

1248 ÷ 2 : Remainder = 0

1248 ÷ 3 : Remainder = 0

1248 ÷ 4 : Remainder = 0

1248 ÷ 6 : Remainder = 0

1248 ÷ 8 : Remainder = 0

1248 ÷ 12 : Remainder = 0

1248 ÷ 13 : Remainder = 0

1248 ÷ 16 : Remainder = 0

1248 ÷ 24 : Remainder = 0

1248 ÷ 26 : Remainder = 0

1248 ÷ 32 : Remainder = 0

1248 ÷ 39 : Remainder = 0

1248 ÷ 48 : Remainder = 0

1248 ÷ 52 : Remainder = 0

1248 ÷ 78 : Remainder = 0

1248 ÷ 96 : Remainder = 0

1248 ÷ 104 : Remainder = 0

1248 ÷ 156 : Remainder = 0

1248 ÷ 208 : Remainder = 0

1248 ÷ 312 : Remainder = 0

1248 ÷ 416 : Remainder = 0

1248 ÷ 624 : Remainder = 0

1248 ÷ 1248 : Remainder = 0

Hence, Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, and 1248

Frequently Asked Questions

Is 1248 a composite number?
Yes 1248 is a composite number.
Is 1248 a prime number?
No 1248 is not a prime number.
What is the mean of factors of 1248?
Factors of 1248 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 13 , 16 , 24 , 26 , 32 , 39 , 48 , 52 , 78 , 96 , 104 , 156 , 208 , 312 , 416 , 624 , 1248. therefore mean of factors of 1248 is (1 + 2 + 3 + 4 + 6 + 8 + 12 + 13 + 16 + 24 + 26 + 32 + 39 + 48 + 52 + 78 + 96 + 104 + 156 + 208 + 312 + 416 + 624 + 1248) / 24 = 147.00.
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 1248 but she is finding it difficult. Can you help her find out?

Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248. So, factors of 1248 in pair are (1,1248), (2,624), (3,416), (4,312), (6,208), (8,156), (12,104), (13,96), (16,78), (24,52), (26,48), (32,39).

Sammy wants to write all the negative factors of 1248 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1248 are -1, -2, -3, -4, -6, -8, -12, -13, -16, -24, -26, -32, -39, -48, -52, -78, -96, -104, -156, -208, -312, -416, -624, -1248. Hence, factors of 1248 in pair are (-1,-1248), (-2,-624), (-3,-416), (-4,-312), (-6,-208), (-8,-156), (-12,-104), (-13,-96), (-16,-78), (-24,-52), (-26,-48), (-32,-39).

Help Deep in writing the positive factors of 1248 in pair and negative factor of 1248 in pair.

Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248. Positive factors of 1248 in pair are (1,1248), (2,624), (3,416), (4,312), (6,208), (8,156), (12,104), (13,96), (16,78), (24,52), (26,48), (32,39). Negative factors of 1248 in pair are (-1,-1248), (-2,-624), (-3,-416), (-4,-312), (-6,-208), (-8,-156), (-12,-104), (-13,-96), (-16,-78), (-24,-52), (-26,-48), (-32,-39).

Find the product of all factors of 1248.

Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248. So the product of all factors of 1248 would be 1 x 2 x 3 x 4 x 6 x 8 x 12 x 13 x 16 x 24 x 26 x 32 x 39 x 48 x 52 x 78 x 96 x 104 x 156 x 208 x 312 x 416 x 624 x 1248 = 1.4274964081643596e+37.

Find the product of all prime factors of 1248.

Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248. Prime factors are 2, 2, 2, 2, 2, 3, 13. So, the product of all prime factors of 1248 would be 2 x 2 x 2 x 2 x 2 x 3 x 13 = 1248.

Can you help Sammy list the factors of 1248 and also find the factor pairs?

Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248.
Factors of 1248 in pair are (1,1248), (2,624), (3,416), (4,312), (6,208), (8,156), (12,104), (13,96), (16,78), (24,52), (26,48), (32,39).

Sammy has 1248 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 1248 blocks in all possible ways to form a rectangle, we need to calculate factors of 1248 in pair. Therefore, factors of 1248 in pair are (1,1248), (2,624), (3,416), (4,312), (6,208), (8,156), (12,104), (13,96), (16,78), (24,52), (26,48), (32,39)