# Factors of 490 in pair

Factors of 490 in pair are (1, 490) , (2, 245) , (5, 98) , (7, 70) , (10, 49) and (14, 35)

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

 1.   Steps to find factors of 490 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 490 in pair

Factor Pair Pair Factorization
1 and 490 1 x 490 = 490
2 and 245 2 x 245 = 490
5 and 98 5 x 98 = 490
7 and 70 7 x 70 = 490
10 and 49 10 x 49 = 490
14 and 35 14 x 35 = 490

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 490. They are called negative pair factors.

Hence, the negative pairs of 490 would be ( -1 , -490 ) .

#### 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 490 are 1 , 2 , 5 , 7 , 10 , 14 , 35 , 49 , 70 , 98 , 245 , 490. So, factors of 490 in pair are (1,490), (2,245), (5,98), (7,70), (10,49), (14,35).

#### 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. 490 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, 49, 70, 98, 245, 490 are exact divisors of 490.
• 1 is a factor of every number. Eg. 1 is a factor of 490.
• Every number is a factor of zero (0), since 490 x 0 = 0.

#### Steps to find Factors of 490

• Step 1. Find all the numbers that would divide 490 without leaving any remainder. Starting with the number 1 upto 245 (half of 490). The number 1 and the number itself are always factors of the given number.
490 ÷ 1 : Remainder = 0
490 ÷ 2 : Remainder = 0
490 ÷ 5 : Remainder = 0
490 ÷ 7 : Remainder = 0
490 ÷ 10 : Remainder = 0
490 ÷ 14 : Remainder = 0
490 ÷ 35 : Remainder = 0
490 ÷ 49 : Remainder = 0
490 ÷ 70 : Remainder = 0
490 ÷ 98 : Remainder = 0
490 ÷ 245 : Remainder = 0
490 ÷ 490 : Remainder = 0

Hence, Factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, and 490

#### Frequently Asked Questions

• Is 490 a composite number?

Yes 490 is a composite number.

• Is 490 a prime number?

No 490 is not a prime number.

• Write five multiples of 490.

Five multiples of 490 are 980, 1470, 1960, 2450, 2940.

• Write all odd factors of 490?

The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490.
Odd factors of 490 are 1 , 5 , 7 , 35 , 49 , 245.

• What is the mean of all prime factors of 490?

Factors of 490 are 1 , 2 , 5 , 7 , 10 , 14 , 35 , 49 , 70 , 98 , 245 , 490. Prime factors of 490 are 2 , 5 , 7 , 7. Therefore mean of prime factors of 490 is (2 + 5 + 7 + 7) / 4 = 5.25.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 490 but she is finding it difficult. Can you help her find out?

Factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490. So, factors of 490 in pair are (1,490), (2,245), (5,98), (7,70), (10,49), (14,35).

Sammy wants to write all the negative factors of 490 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 490 are -1, -2, -5, -7, -10, -14, -35, -49, -70, -98, -245, -490. Hence, factors of 490 in pair are (-1,-490), (-2,-245), (-5,-98), (-7,-70), (-10,-49), (-14,-35).

Help Deep in writing the positive factors of 490 in pair and negative factor of 490 in pair.

Factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490. Positive factors of 490 in pair are (1,490), (2,245), (5,98), (7,70), (10,49), (14,35). Negative factors of 490 in pair are (-1,-490), (-2,-245), (-5,-98), (-7,-70), (-10,-49), (-14,-35).

Find the product of all prime factors of 490.

Factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490. Prime factors are 2, 5, 7, 7. So, the product of all prime factors of 490 would be 2 x 5 x 7 x 7 = 490.

Can you help Sammy list the factors of 490 and also find the factor pairs?

Factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490.
Factors of 490 in pair are (1,490), (2,245), (5,98), (7,70), (10,49), (14,35).

Help Diji in finding factors of 490 by Prime Factorization method and then sorting factors of 490 in pairs.

Prime factorization of 490 is 2 x 5 x 7 x 7. Factors of 490 in pair can be written as (1,490), (2,245), (5,98), (7,70), (10,49), (14,35).

Write the smallest prime factor of 490.

Smallest prime factor of 490 is 2.

Write the largest prime factor of 490.

Largest prime factor of 490 is 7.

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