# Factors of 416 in pair

Factors of 416 in pair are (1, 416) , (2, 208) , (4, 104) , (8, 52) , (13, 32) and (16, 26)

#### How to find factors of a number in pair

 1.   Steps to find factors of 416 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 416 in pair

Factor Pair Pair Factorization
1 and 416 1 x 416 = 416
2 and 208 2 x 208 = 416
4 and 104 4 x 104 = 416
8 and 52 8 x 52 = 416
13 and 32 13 x 32 = 416
16 and 26 16 x 26 = 416

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 416. They are called negative pair factors.

Hence, the negative pairs of 416 would be ( -1 , -416 ) .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 416 are 1 , 2 , 4 , 8 , 13 , 16 , 26 , 32 , 52 , 104 , 208 , 416. So, factors of 416 in pair are (1,416), (2,208), (4,104), (8,52), (13,32), (16,26).

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 416 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 416.
• Every number is a factor of zero (0), since 416 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, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416 are exact divisors of 416.
• Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. Each factor divides 416 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416 are all less than or equal to 416.

#### Steps to find Factors of 416

• Step 1. Find all the numbers that would divide 416 without leaving any remainder. Starting with the number 1 upto 208 (half of 416). The number 1 and the number itself are always factors of the given number.
416 ÷ 1 : Remainder = 0
416 ÷ 2 : Remainder = 0
416 ÷ 4 : Remainder = 0
416 ÷ 8 : Remainder = 0
416 ÷ 13 : Remainder = 0
416 ÷ 16 : Remainder = 0
416 ÷ 26 : Remainder = 0
416 ÷ 32 : Remainder = 0
416 ÷ 52 : Remainder = 0
416 ÷ 104 : Remainder = 0
416 ÷ 208 : Remainder = 0
416 ÷ 416 : Remainder = 0

Hence, Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, and 416

• Is 416 a composite number?

Yes 416 is a composite number.

• Is 416 a prime number?

No 416 is not a prime number.

• Is 416 a perfect square?

No 416 is not a perfect square.

• Write five multiples of 416.

Five multiples of 416 are 832, 1248, 1664, 2080, 2496.

• Write all odd factors of 416?

The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416.
Odd factors of 416 are 1 , 13.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 416 but she is finding it difficult. Can you help her find out?

Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. So, factors of 416 in pair are (1,416), (2,208), (4,104), (8,52), (13,32), (16,26).

Sammy wants to write all the negative factors of 416 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 416 are -1, -2, -4, -8, -13, -16, -26, -32, -52, -104, -208, -416. Hence, factors of 416 in pair are (-1,-416), (-2,-208), (-4,-104), (-8,-52), (-13,-32), (-16,-26).

Help Deep in writing the positive factors of 416 in pair and negative factor of 416 in pair.

Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. Positive factors of 416 in pair are (1,416), (2,208), (4,104), (8,52), (13,32), (16,26). Negative factors of 416 in pair are (-1,-416), (-2,-208), (-4,-104), (-8,-52), (-13,-32), (-16,-26).

Find the product of all factors of 416.

Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. So the product of all factors of 416 would be 1 x 2 x 4 x 8 x 13 x 16 x 26 x 32 x 52 x 104 x 208 x 416 = 5182746699759616.

Find the product of all prime factors of 416.

Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. Prime factors are 2, 2, 2, 2, 2, 13. So, the product of all prime factors of 416 would be 2 x 2 x 2 x 2 x 2 x 13 = 416.

Can you help Sammy list the factors of 416 and also find the factor pairs?

Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416.
Factors of 416 in pair are (1,416), (2,208), (4,104), (8,52), (13,32), (16,26).

Sammy has 416 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 416 blocks in all possible ways to form a rectangle, we need to calculate factors of 416 in pair. Therefore, factors of 416 in pair are (1,416), (2,208), (4,104), (8,52), (13,32), (16,26)