Last updated on May 26th, 2025
What's your say about the factors of 490? Factors are essentially numbers that can be multiplied together to give an original number. In other words, finding those perfect pairs that go into making 490 without leaving remainders.
Similarly, as we learned above, factors of 490 are such numbers that will be multiplied to get 490. There are both positive and negative factors of numbers that we will learn as we move ahead in the topic.
490 has only twelve factors: 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, and 490.
Negative factors of 490: Negative factors are nothing but the negative counterparts of the position factors of a number.
Since 490 has twelve positive factors: 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, and, 490, it will also have twelve negative counterparts: -1, -2, -5, -7, -10, -14, -35, -49, -70, -98, -245, and, - 490.
Prime factors of 490: Since 490 is a composite number, it has 2, 5, and 7 as its prime factor.
Prime factorization of 490:Prime factorization of a number is the method of expressing 490 as a product of prime factors.
The prime factorization of 490 = 2× 5× 72.
There are several ways of finding factors of 490. We will learn about them one by one as we go on.
In this method, we will try to find such a pair of numbers that will give 490 as their product. We recommend that you should follow the following steps to find factors using multiplication.
Step 1: Always look for a pair of numbers whose product is 490.
Step 2: After finding such pairs, list them all one by one.
Here, factor pairs of 490 are (1, 490), (2, 245), (5, 98), (7, 70), (10, 49), and (14, 35).
So the factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, and, 490.
In the method, we need to find such numbers that divide 490 completely without leaving any remainder.
490/1 = 490
490/ 2 = 89
490/ 5 = 98
490/ 7 = 70
490/ 10 = 49
490/ 14 = 35
490/ 35 = 14
490/ 49 = 10
490/ 70 = 7
490/ 98 = 5
490/ 245 = 2
490/ 490 = 1
All the 12 numbers: 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, and, 490, mentioned above divide 490 completely without any remainder. Hence, they are factors of 490.
In the prime factorization method, a number is expressed as the product of prime factors.
Here, as we know, 490 = 2 × 5 × 72
2, 5, and 7 are the prime factors when multiplied together will give 490 as a product of the multiplication.
Factor tree is a graphical representation of factors of any number. In the diagram, each branch represents the prime factors a number has.
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The factor pairs of a number refer to a pair of numbers which, when multiplied, will give the number as a product.
The factor pairs of 490 are (1, 490), (2, 245), (5, 98), (7, 70), (10, 49), and (14, 35)
Positive Pair Factors of 490 are (1, 490), (2, 245), (5, 98), (7, 70), (10, 49), and (14, 35)
Negative Pair Factors of 490 are (-1, -490), (-2, -245), (-5, -98), (-7, -70), (-10, -49), and (-14, -35)
There are some errors that a child is bound to commit while discovering the factors of 490. Let us know what error a child is likely to commit.
What is 1/ 70 of 490?
7
You need to divide 490 by 70 to get 7.
What is the square root of 49.
7 is the square root of 49.
Find the value of the square root of 49 that is 7.
Determine if the sum of the smallest factor of 490 and 49 is divisible by 7 or not.
No, 50 is not divisible by 7.
The smallest factor of 490 is 1. So, 1 + 49 = 50 and 50 is not divisible by 7.
Calculate the number of factors of 490 by using the prime factorization method.
There are 3 prime factors of 490.
Since 490= 72 × 2 × 5, the power of 2, 5, and 7 are 1,1 and 2. Now, add 1 to the powers and multiply. So, (1+1) * (1+1) * (2+1) = 12 factors.
Find the sum of all prime factors of 490 that are odd and greater than 2.
12 is the sum of all prime factors of 490.
The prime factors greater than 2 are 5 and 7. So, the sum of 5 and 7 is 12
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.