Last updated on May 26th, 2025
Let’s learn about the factors of 301 and what makes it special ! A factor is a number that divides into another, leaving behind no other remainder. Did you know? Factors come into use when we have to split things into equal groups, solve puzzles and even understand the patterns in math.
Let's find the factors of 301 ! We are finding all numbers that go into 301 evenly when we look for the factors of a number.
We can apply various methods to find the factors of a number. Use one you can understand simply.
Look for two numbers, the multiplication of which yields 301.
The pairs formed are considered as factors of 301.
301 is a composite number
The factor pairs of 301 are;
Positive factor pairs — (1,301) (7,43)
Negative factor pairs — (-1,-301) (-43,-13)
Prime factors of 301: 7,43
The prime factorization of 301= 7×43
Factors of 301 are 1,7,43,301 and -1,-7,-43,-301.
We make branches in the factor tree method that extends from the number to express it as the product of its factors.
The branches extend as → 301= 7×43 — the factorization ends here, the number 43 is prime.
Do you think factors are complicated to solve through? We agree it can be a bit problematic, and it is easy to make a few mistakes. Let's take a look at the possible mistakes and see how we can avoid them.
What is the GCF of 301 and 49?
Factors of 301 → 1, 7, 43, and 301.
Factors of 49 → 1, 7, and 49.
Pick the biggest factor that is on both lists.
GCF (301,49) = 7
By listing factors for each, we see that 7 is the largest common factor.
What is the product of all the factors of 301?
Identify the factors of 301: 1, 7, 43, and 301.
Multiply all the factors:
1×7×43×301=9071.
To find the product, we multiply each factor of 301. This involves careful multiplication of each factor, ensuring we include all four factors.
A teacher has 301 stickers and wants to divide them into equal groups. What group sizes are possible if each group has an equal number of stickers?
Find the factors of 301, as these represent possible group sizes.
Factors are 1, 7, 43, and 301.
Each factor represents a group size that divides 301 evenly.
Answer: The possible group sizes are 1, 7, 43, and 301 stickers per group.
Each factor of 301 represents a number that divides 301 with no leftovers. By using factors, the teacher can choose a group size that divides the stickers evenly.