What is a factor in math ?
Factors are the numbers you multiply together to get another number. For example, the factors of 15 are 3 and 5 because 3 × 5 = 15.
The factors of a number can be positive or negative, but they cannot be zero.
The factors of a number can be used to find out if the number is prime or not.
A prime number is a number that has only two factors: itself and 1. For example, the number 7 is prime because its only factors are 7 and 1.
List all of the factors of 74500 ?
To calculate the factors of 74500 , you can use the division method.
1. Begin by dividing 74500 by the smallest possible number, which is 2.
2. If the division is even, then 2 is a factor of 74500.
3. Continue dividing 74500 by larger numbers until you find an odd number that does not divide evenly into 74500 .
4. The numbers that divide evenly into 74500 are the factors of 74500 .
Now let us find how to calculate all the factors of Seventy-four thousand five hundred :
74500 ÷ 1 = 74500
74500 ÷ 2 = 37250
74500 ÷ 4 = 18625
74500 ÷ 5 = 14900
74500 ÷ 10 = 7450
74500 ÷ 20 = 3725
74500 ÷ 25 = 2980
74500 ÷ 50 = 1490
74500 ÷ 100 = 745
74500 ÷ 125 = 596
74500 ÷ 149 = 500
74500 ÷ 250 = 298
74500 ÷ 298 = 250
74500 ÷ 500 = 149
74500 ÷ 596 = 125
74500 ÷ 745 = 100
74500 ÷ 1490 = 50
74500 ÷ 2980 = 25
74500 ÷ 3725 = 20
74500 ÷ 7450 = 10
74500 ÷ 14900 = 5
74500 ÷ 18625 = 4
74500 ÷ 37250 = 2
74500 ÷ 74500 = 1
As you can see, the factors of 74500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 149 , 250 , 298 , 500 , 596 , 745 , 1490 , 2980 , 3725 , 7450 , 14900 , 18625 , 37250 and 74500 .
How to Write Numbers in French Similar to 74500?
How many factors of 74500 are there ?
The factors of 74500 are the numbers that can evenly divide 74500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 149 , 250 , 298 , 500 , 596 , 745 , 1490 , 2980 , 3725 , 7450 , 14900 , 18625 , 37250 and 74500.
Thus, there are a total of 24 factors of 74500
What are the factor pairs of 74500 ?
Factor Pairs of 74500 are combinations of two factors that when multiplied together equal 74500. There are many ways to calculate the factor pairs of 74500 .
One easy way is to list out the factors of 74500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 149 , 250 , 298 , 500 , 596 , 745 , 1490 , 2980 , 3725 , 7450 , 14900 , 18625 , 37250 , 74500
Then, pair up the factors:
(1,74500),(2,37250),(4,18625),(5,14900),(10,7450),(20,3725),(25,2980),(50,1490),(100,745),(125,596),(149,500) and (250,298)
These are the factor pairs of 74500 .
Prime Factorisation of 74500
There are a few different methods that can be used to calculate the prime factorization of a number. Two of the most common methods are listed below.
1) Use a factor tree :
1. Take the number you want to find the prime factorization of and write it at the top of the page
2. Find the smallest number that goes into the number you are finding the prime factorization of evenly and write it next to the number you are finding the prime factorization of
3. Draw a line under the number you just wrote and the number you are finding the prime factorization of
4. Repeat step 2 with the number you just wrote until that number can no longer be divided evenly
5. The numbers written on the lines will be the prime factors of the number you started with
For example, to calculate the prime factorization of 74500 using a factor tree, we would start by writing 74500 on a piece of paper. Then, we would draw a line under it and begin finding factors.
The final prime factorization of 74500 would be 2 x 2 x 5 x 5 x 5 x 149.
2) Use a factorization method :
There are a few different factorization methods that can be used to calculate the prime factorization of a number.
One common method is to start by dividing the number by the smallest prime number that will divide evenly into it.
Then, continue dividing the number by successively larger prime numbers until the number has been fully factorised.
For example, to calculate the prime factorization of 74500 using this method, we keep dividing until it gives a non-zero remainder.
74500 ÷ 2 = 37250
37250 ÷ 2 = 18625
18625 ÷ 5 = 3725
3725 ÷ 5 = 745
745 ÷ 5 = 149
149 ÷ 149 = 1
So the prime factors of 74500 are 2 x 2 x 5 x 5 x 5 x 149.
Frequently Asked Questions on Factors
What are all the factors of 74500 ?
The factors of 74500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 149 , 250 , 298 , 500 , 596 , 745 , 1490 , 2980 , 3725 , 7450 , 14900 , 18625 , 37250 and 74500.
What is the prime factorization of 74500 ?
The prime factorization of 74500 is 2 x 2 x 5 x 5 x 5 x 149 or 22 x 53 x 1491, where 2 , 5 , 149 are the prime numbers .
What are the prime factors of 74500 ?
The prime factors of 74500 are 2 , 5 , 149 .
Is 74500 a prime number ?
A prime number is a number that has only two factors 1 and itself.
74500 it is not a prime number
because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 125 , 149 , 250 , 298 , 500 , 596 , 745 , 1490 , 2980 , 3725 , 7450 , 14900 , 18625 , 37250 and 74500.