# Factors of 70 in pair

Factors of 70 in pair are (1, 70) , (2, 35) , (5, 14) and (7, 10)

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

 1.   Steps to find factors of 70 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 70 in pair

Factor Pair Pair Factorization
1 and 70 1 x 70 = 70
2 and 35 2 x 35 = 70
5 and 14 5 x 14 = 70
7 and 10 7 x 10 = 70

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 70. They are called negative pair factors.

Hence, the negative pairs of 70 would be ( -1 , -70 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 70 are 1 , 2 , 5 , 7 , 10 , 14 , 35 , 70. So, factors of 70 in pair are (1,70), (2,35), (5,14), (7,10).

#### What are factors?

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

#### Properties of Factors

• Each number is a factor of itself. Eg. 70 is a factor of itself.
• 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, 5, 7, 10, 14, 35, 70 are exact divisors of 70.
• 1 is a factor of every number. Eg. 1 is a factor of 70.
• Every number is a factor of zero (0), since 70 x 0 = 0.

#### Steps to find Factors of 70

• Step 1. Find all the numbers that would divide 70 without leaving any remainder. Starting with the number 1 upto 35 (half of 70). The number 1 and the number itself are always factors of the given number.
70 ÷ 1 : Remainder = 0
70 ÷ 2 : Remainder = 0
70 ÷ 5 : Remainder = 0
70 ÷ 7 : Remainder = 0
70 ÷ 10 : Remainder = 0
70 ÷ 14 : Remainder = 0
70 ÷ 35 : Remainder = 0
70 ÷ 70 : Remainder = 0

Hence, Factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70

• Is 70 a composite number?

Yes 70 is a composite number.

• Is 70 a prime number?

No 70 is not a prime number.

• Write five multiples of 70.

Five multiples of 70 are 140, 210, 280, 350, 420.

• Write all odd factors of 70?

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70.
Odd factors of 70 are 1 , 5 , 7 , 35.

• What is the mean of all prime factors of 70?

Factors of 70 are 1 , 2 , 5 , 7 , 10 , 14 , 35 , 70. Prime factors of 70 are 2 , 5 , 7. Therefore mean of prime factors of 70 is (2 + 5 + 7) / 3 = 4.67.

#### Examples of Factors

Can you help Rubel in arranging 70 blocks in order to form a rectangle in all possible ways? For arranging 70 blocks in order to form a rectangle in all possible ways we need to find factors of 70 in pair.

Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70. So, factors of 70 in pair are (1,70), (2,35), (5,14), (7,10).

Ariel has been asked to write all factor pairs of 70 but she is finding it difficult. Can you help her find out?

Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70. So, factors of 70 in pair are (1,70), (2,35), (5,14), (7,10).

How many total number of factors of 70 in pair are possible?

Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70. Hence, the factors of 70 in pair are (1,70), (2,35), (5,14), (7,10). Therefore, in total 4 pairs of factors are possible.

Sammy wants to write all the negative factors of 70 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 70 are -1, -2, -5, -7, -10, -14, -35, -70. Hence, factors of 70 in pair are (-1,-70), (-2,-35), (-5,-14), (-7,-10).

Help Deep in writing the positive factors of 70 in pair and negative factor of 70 in pair.

Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70. Positive factors of 70 in pair are (1,70), (2,35), (5,14), (7,10). Negative factors of 70 in pair are (-1,-70), (-2,-35), (-5,-14), (-7,-10).

Find the product of all factors of 70.

Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70. So the product of all factors of 70 would be 1 x 2 x 5 x 7 x 10 x 14 x 35 x 70 = 24010000.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 70.
- Writing all prime factors of 70.
- Writing all the possible factors of 70 in pair.
Help him in writing all these.

Positive factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70.
Prime factors of 70 are 2, 5, 7.
Factors of 70 in pair are (1,70), (2,35), (5,14), (7,10).

Can you help Sammy list the factors of 70 and also find the factor pairs?

Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70.
Factors of 70 in pair are (1,70), (2,35), (5,14), (7,10).