Last updated on May 26th, 2025
A factor of a given number can be any number that divides it without leaving any remainder. Factors play a vital role in packing, organizing items, sharing resources equally, and coding. In this topic, we will learn about the factors of 387.
We will now learn about the factors of 387. The factors of 387 can be found in a very simple way:
by identifying numbers that divide 387 without leaving any remainder. The factors of 387 are 1, 3, 9, 43, 129, and 387. Every number has both positive and negative factors. Negative factors are the ones with a negative sign that divides the number without leaving a remainder.
There are different methods we use to find the factors of a number. The most commonly used are as follows:
We’ll now look into each of these in detail.
To find the factors of 387 using the multiplication method, simply identify the numbers that can be multiplied to get the value 387.
Step 1: Identify and multiply the pairs of numbers that can give the value of 387.
Multiply 387 with 1 and then repeat the process by multiplying 387 with other numbers.
Step 2: After the calculation, we get these numbers as the factors of 387.
Step 3: The positive factor pairs of 387 found through multiplication are (1, 387), (3, 129), and (9, 43)
Step 4: For every positive factor, there is a corresponding negative factor. So the negative factor pairs of 387 are written as (-1, -387), (-3, -129), and (-9, -43).
We can find the factors using the division method. First, divide the target number by 1. Then proceed to divide by every number up to the number itself. See if the division leaves no remainder.
Let's calculate it as given below:
Step 1: Divide 387 by smaller numbers and see if it leaves any remainder. E.g., 387/1 = 387.
Step 2: We will continue in the same way and check for other numbers as well. Factors of 387 are 1, 3, 9, 43, 129, and 387. They are the factors of 387 because the said number can be divided evenly by these numbers.
The prime factors of 387 are 3 and 43. The prime factors can be determined using the methods as follows:
By Using Prime Factorization: Prime factorization is used to find the factors of the target number by breaking it down into its prime factors.
2 is the smallest prime number, so begin by dividing by 2. Then, continue dividing by other prime numbers.
43 is a prime number that cannot be further divided.
So, the prime factorization of 387 is:
387 = 32 x 43
Imagine a tree of numbers with many branches. Each branch is assigned the task of breaking down a number into its prime factors. This visual representation is known as the factor tree.
Step 1: 387 divided by 3 gives us the quotient 129
387 ÷ 3 = 129
Step 2: Divide 129 by 3 again, which gives us the quotient 43.
Step 3: Since 43 is a prime number, it cannot be divided further.]
The prime factorization of 387 is written below :
387 = 32 × 43
Factor pairs are two numbers that, when multiplied together, give the target number. Every number has both positive and negative factor pairs. Let’s look at these sets of factors.
Positive factor pairs: (1, 387), (3, 129), and (9, 43)
Negative factor pairs: (−1, −387), (−3, −129), and (−9, −43)
It is common to make mistakes when finding the factors of a number. Identifying these mistakes and correcting them helps. The common mistakes are as follows:
A farm has 387 apples and wants to load them into baskets. How many baskets would be needed, if each basket can carry 43 apples?
The farm would need 9 baskets to load all 387 apples.
For this, divide total number of apples by the number of apples that can be accommodated in each basket:
387÷43=9
A girl wants to make bundles of 3 flowers each. If the garden has 387 flowers, how many bundles can be made?
129 bundles
Divide 387 by 3. This gives a quotient of 129. Therefore, the girl can make 129 bundles of 3 flowers.
Alex has 387 chocolates. He wants to place an equal number of chocolates in each goodie bag for his 43 classmates. How many chocolates can be placed in each goodie bag?
Total chocolates = 387
Number of classmates = 43
Divide the total number of chocolates (387) by the number of classmates(43).
387 ÷ 43 = 9
Dividing the total number of chocolates 387 equally among the goodie bags for 43 classmates gives 9. Therefore, 9 chocolates can be placed in each goodie bag.
A company manufactures 387 toys per day. If each box can hold 6 toys, how many boxes are required to pack all the toys manufactured in a day?
387 ÷ 6 = 64.5 (rounded up to 65)
Dividing the total number of toys 387 by the number of toys per box 6. Since we can't have 64.5 boxes, we round up to 65 boxes.
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.