159 LearnersLast updated on May 26th, 2025
Factors of 151
Factors are the numbers that divide another number equally, without leaving any remainder. When you multiply two numbers to find another number, the two which are multiplied are factors. You can think of factors as the building blocks that will help you make numbers.
What are the factors of 151?
Factors are the numbers that help us divide things equally without any leftovers. Factors of 151 are 1 and 151 as 151 is a prime number. The number has both positive and negative integers that divide 151 without leaving any remainder.
How to find the factors of 151?
Factors help us divide numbers equally, making calculations faster and easier. Given below are the methods used to find factors:
Finding Factors Using Multiplication
In this method, we take two numbers and find the product of those two numbers to get the required number.
Example: 1×151=151, this means that 1 and 151 are the factors of 151.
Finding Factors by Division Method
We divide 151 by numbers starting from 1 and see which number gives the remainder of 0.
151 1=151
151 151=1
So the factors are 1 and 151.
Prime Factors and Prime Factorization
The breaking down of numbers as prime factors is called prime factorization. As 151 is a prime number, it can have only two factors. So, it cannot be divided into smaller parts.
Factor tree
A factor tree shows how a number can be parted down into prime factors.151 cannot be broken down into two factors, as it is a prime number.
Positive and negative pairs
The factors of a number will have both the positive and negative numbers:
Positive :(1,151)
Negative:(-1,-151)
Common Mistakes and How to Avoid Them in Factors of 151
While learning about Factors of 151, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
Mistake 1
Improper calculation in division
Children may get confused while performing divisions in the carry forward of numbers, which may lead to improper results. To avoid this, students should practice division to be better at the calculations.
factors of 151 Examples
Problem 1
Find the Greatest Common Factor (GCF) of 151 and 210.
To solve for the GCF, we need to determine the common factors of both 151 and 210.
List the factors of each number.
Factors of 151: 1, 151 (since 151 is prime)
Factors of 210:
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Identify the common factors.
The only common factor between 151 and 210 is 1.
The GCF of 151 and 210 is 1.
Explanation
Since 151 is a prime number, it has no divisors other than 111 and itself. Thus, the only common factor between 151 and any non-multiple of 151 (like 210) is 111. Hence, the GCF of 151 and 210 is 111, indicating that they are co-prime (relatively prime).
Problem 2
Multiply the Factors of 151 and check if the total is a Perfect Square
We need to find if the product of the factors of 151 results in a perfect square.
List the factors of 151.
Factors: 1, 151
Calculate the product of the factors.
1×151=151
Check if 151 is a perfect square.
A number is a perfect square if it can be expressed as n2n^2n2 (where n is a whole number).
151 is not a perfect square, since 151≈12.29(not an integer).
Explanation
For a number to be a perfect square, its square root must be an integer. Since the square root of 151 is approximately 12.29 (not an integer), it is not a perfect square.
Problem 3
Check if the Difference of the Factors of 151 is a Prime Number.
We need to find the difference between the two factors of 151 and check if the result is a prime number.
List the factors of 151.
Factors: 1, 151
Calculate the difference.
151−1=150151–1 = 150151−1=150
Check if 150 is a prime number.
As 150 is an even number and can be divided by two, it is not a prime number.
Conclusion:
When we subtract 150 from 151, the difference is not a prime number.
Explanation
The difference between the factors of 151 is 150. Since 150 is divisible by 2, it is not a prime number. Thus, the difference between the factors of 151 is not a prime number.
FAQs on Factors of 151
1.What is the negative pair of 151?
2.What is 151 divisible by?
3.Is 151 a perfect square?
4.Is 151 divisible by 7?
5.Is 151 even or odd?
Important Glossaries for Factors of 151
Prime Factorization: It is a method of splitting down a number into its factors. For example: 2 x 79.
Divisibility: A number is said to be divisible by a certain number, when we divide a number it should give a whole number and not a decimal.
Even number: A number that when divided by 2 gives a whole number.
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