# Factors of 464 in pair

Factors of 464 in pair are (1, 464) , (2, 232) , (4, 116) , (8, 58) and (16, 29)

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

 1.   Steps to find factors of 464 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 464 in pair

Factor Pair Pair Factorization
1 and 464 1 x 464 = 464
2 and 232 2 x 232 = 464
4 and 116 4 x 116 = 464
8 and 58 8 x 58 = 464
16 and 29 16 x 29 = 464

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 464. They are called negative pair factors.

Hence, the negative pairs of 464 would be ( -1 , -464 ) .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 464 are 1 , 2 , 4 , 8 , 16 , 29 , 58 , 116 , 232 , 464. So, factors of 464 in pair are (1,464), (2,232), (4,116), (8,58), (16,29).

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 464 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 464.
• Every number is a factor of zero (0), since 464 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, 16, 29, 58, 116, 232, 464 are exact divisors of 464.
• Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. Each factor divides 464 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 16, 29, 58, 116, 232, 464 are all less than or equal to 464.

#### Steps to find Factors of 464

• Step 1. Find all the numbers that would divide 464 without leaving any remainder. Starting with the number 1 upto 232 (half of 464). The number 1 and the number itself are always factors of the given number.
464 ÷ 1 : Remainder = 0
464 ÷ 2 : Remainder = 0
464 ÷ 4 : Remainder = 0
464 ÷ 8 : Remainder = 0
464 ÷ 16 : Remainder = 0
464 ÷ 29 : Remainder = 0
464 ÷ 58 : Remainder = 0
464 ÷ 116 : Remainder = 0
464 ÷ 232 : Remainder = 0
464 ÷ 464 : Remainder = 0

Hence, Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, and 464

• Is 464 a composite number?

Yes 464 is a composite number.

• Is 464 a prime number?

No 464 is not a prime number.

• Is 464 a perfect square?

No 464 is not a perfect square.

• Write five multiples of 464.

Five multiples of 464 are 928, 1392, 1856, 2320, 2784.

• Write all odd factors of 464?

The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464.
Odd factors of 464 are 1 , 29.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 464 but she is finding it difficult. Can you help her find out?

Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. So, factors of 464 in pair are (1,464), (2,232), (4,116), (8,58), (16,29).

Sammy wants to write all the negative factors of 464 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 464 are -1, -2, -4, -8, -16, -29, -58, -116, -232, -464. Hence, factors of 464 in pair are (-1,-464), (-2,-232), (-4,-116), (-8,-58), (-16,-29).

Help Deep in writing the positive factors of 464 in pair and negative factor of 464 in pair.

Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. Positive factors of 464 in pair are (1,464), (2,232), (4,116), (8,58), (16,29). Negative factors of 464 in pair are (-1,-464), (-2,-232), (-4,-116), (-8,-58), (-16,-29).

Find the product of all factors of 464.

Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. So the product of all factors of 464 would be 1 x 2 x 4 x 8 x 16 x 29 x 58 x 116 x 232 x 464 = 21507498573824.

Find the product of all prime factors of 464.

Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. Prime factors are 2, 2, 2, 2, 29. So, the product of all prime factors of 464 would be 2 x 2 x 2 x 2 x 29 = 464.

Can you help Sammy list the factors of 464 and also find the factor pairs?

Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464.
Factors of 464 in pair are (1,464), (2,232), (4,116), (8,58), (16,29).

Sammy has 464 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 464 blocks in all possible ways to form a rectangle, we need to calculate factors of 464 in pair. Therefore, factors of 464 in pair are (1,464), (2,232), (4,116), (8,58), (16,29)