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 742000 ?
To calculate the factors of 742000 , you can use the division method.
1. Begin by dividing 742000 by the smallest possible number, which is 2.
2. If the division is even, then 2 is a factor of 742000.
3. Continue dividing 742000 by larger numbers until you find an odd number that does not divide evenly into 742000 .
4. The numbers that divide evenly into 742000 are the factors of 742000 .
Now let us find how to calculate all the factors of Seven hundred forty-two thousand :
742000 ÷ 1 = 742000
742000 ÷ 2 = 371000
742000 ÷ 4 = 185500
742000 ÷ 5 = 148400
742000 ÷ 7 = 106000
742000 ÷ 8 = 92750
742000 ÷ 10 = 74200
742000 ÷ 14 = 53000
742000 ÷ 16 = 46375
742000 ÷ 20 = 37100
742000 ÷ 25 = 29680
742000 ÷ 28 = 26500
742000 ÷ 35 = 21200
742000 ÷ 40 = 18550
742000 ÷ 50 = 14840
742000 ÷ 53 = 14000
742000 ÷ 56 = 13250
742000 ÷ 70 = 10600
742000 ÷ 80 = 9275
742000 ÷ 100 = 7420
742000 ÷ 106 = 7000
742000 ÷ 112 = 6625
742000 ÷ 125 = 5936
742000 ÷ 140 = 5300
742000 ÷ 175 = 4240
742000 ÷ 200 = 3710
742000 ÷ 212 = 3500
742000 ÷ 250 = 2968
742000 ÷ 265 = 2800
742000 ÷ 280 = 2650
742000 ÷ 350 = 2120
742000 ÷ 371 = 2000
742000 ÷ 400 = 1855
742000 ÷ 424 = 1750
742000 ÷ 500 = 1484
742000 ÷ 530 = 1400
742000 ÷ 560 = 1325
742000 ÷ 700 = 1060
742000 ÷ 742 = 1000
742000 ÷ 848 = 875
742000 ÷ 875 = 848
742000 ÷ 1000 = 742
742000 ÷ 1060 = 700
742000 ÷ 1325 = 560
742000 ÷ 1400 = 530
742000 ÷ 1484 = 500
742000 ÷ 1750 = 424
742000 ÷ 1855 = 400
742000 ÷ 2000 = 371
742000 ÷ 2120 = 350
742000 ÷ 2650 = 280
742000 ÷ 2800 = 265
742000 ÷ 2968 = 250
742000 ÷ 3500 = 212
742000 ÷ 3710 = 200
742000 ÷ 4240 = 175
742000 ÷ 5300 = 140
742000 ÷ 5936 = 125
742000 ÷ 6625 = 112
742000 ÷ 7000 = 106
742000 ÷ 7420 = 100
742000 ÷ 9275 = 80
742000 ÷ 10600 = 70
742000 ÷ 13250 = 56
742000 ÷ 14000 = 53
742000 ÷ 14840 = 50
742000 ÷ 18550 = 40
742000 ÷ 21200 = 35
742000 ÷ 26500 = 28
742000 ÷ 29680 = 25
742000 ÷ 37100 = 20
742000 ÷ 46375 = 16
742000 ÷ 53000 = 14
742000 ÷ 74200 = 10
742000 ÷ 92750 = 8
742000 ÷ 106000 = 7
742000 ÷ 148400 = 5
742000 ÷ 185500 = 4
742000 ÷ 371000 = 2
742000 ÷ 742000 = 1
As you can see, the factors of 742000 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 16 , 20 , 25 , 28 , 35 , 40 , 50 , 53 , 56 , 70 , 80 , 100 , 106 , 112 , 125 , 140 , 175 , 200 , 212 , 250 , 265 , 280 , 350 , 371 , 400 , 424 , 500 , 530 , 560 , 700 , 742 , 848 , 875 , 1000 , 1060 , 1325 , 1400 , 1484 , 1750 , 1855 , 2000 , 2120 , 2650 , 2800 , 2968 , 3500 , 3710 , 4240 , 5300 , 5936 , 6625 , 7000 , 7420 , 9275 , 10600 , 13250 , 14000 , 14840 , 18550 , 21200 , 26500 , 29680 , 37100 , 46375 , 53000 , 74200 , 92750 , 106000 , 148400 , 185500 , 371000 and 742000 .
How to Write Numbers in French Similar to 742000?
How many factors of 742000 are there ?
The factors of 742000 are the numbers that can evenly divide 742000 . These numbers are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 16 , 20 , 25 , 28 , 35 , 40 , 50 , 53 , 56 , 70 , 80 , 100 , 106 , 112 , 125 , 140 , 175 , 200 , 212 , 250 , 265 , 280 , 350 , 371 , 400 , 424 , 500 , 530 , 560 , 700 , 742 , 848 , 875 , 1000 , 1060 , 1325 , 1400 , 1484 , 1750 , 1855 , 2000 , 2120 , 2650 , 2800 , 2968 , 3500 , 3710 , 4240 , 5300 , 5936 , 6625 , 7000 , 7420 , 9275 , 10600 , 13250 , 14000 , 14840 , 18550 , 21200 , 26500 , 29680 , 37100 , 46375 , 53000 , 74200 , 92750 , 106000 , 148400 , 185500 , 371000 and 742000.
Thus, there are a total of 80 factors of 742000
What are the factor pairs of 742000 ?
Factor Pairs of 742000 are combinations of two factors that when multiplied together equal 742000. There are many ways to calculate the factor pairs of 742000 .
One easy way is to list out the factors of 742000 :
1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 16 , 20 , 25 , 28 , 35 , 40 , 50 , 53 , 56 , 70 , 80 , 100 , 106 , 112 , 125 , 140 , 175 , 200 , 212 , 250 , 265 , 280 , 350 , 371 , 400 , 424 , 500 , 530 , 560 , 700 , 742 , 848 , 875 , 1000 , 1060 , 1325 , 1400 , 1484 , 1750 , 1855 , 2000 , 2120 , 2650 , 2800 , 2968 , 3500 , 3710 , 4240 , 5300 , 5936 , 6625 , 7000 , 7420 , 9275 , 10600 , 13250 , 14000 , 14840 , 18550 , 21200 , 26500 , 29680 , 37100 , 46375 , 53000 , 74200 , 92750 , 106000 , 148400 , 185500 , 371000 , 742000
Then, pair up the factors:
(1,742000),(2,371000),(4,185500),(5,148400),(7,106000),(8,92750),(10,74200),(14,53000),(16,46375),(20,37100),(25,29680),(28,26500),(35,21200),(40,18550),(50,14840),(53,14000),(56,13250),(70,10600),(80,9275),(100,7420),(106,7000),(112,6625),(125,5936),(140,5300),(175,4240),(200,3710),(212,3500),(250,2968),(265,2800),(280,2650),(350,2120),(371,2000),(400,1855),(424,1750),(500,1484),(530,1400),(560,1325),(700,1060),(742,1000) and (848,875)
These are the factor pairs of 742000 .
Prime Factorisation of 742000
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 742000 using a factor tree, we would start by writing 742000 on a piece of paper. Then, we would draw a line under it and begin finding factors.
The final prime factorization of 742000 would be 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 x 53.
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 742000 using this method, we keep dividing until it gives a non-zero remainder.
742000 ÷ 2 = 371000
371000 ÷ 2 = 185500
185500 ÷ 2 = 92750
92750 ÷ 2 = 46375
46375 ÷ 5 = 9275
9275 ÷ 5 = 1855
1855 ÷ 5 = 371
371 ÷ 7 = 53
53 ÷ 53 = 1
So the prime factors of 742000 are 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 x 53.
Frequently Asked Questions on Factors
What are all the factors of 742000 ?
The factors of 742000 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 16 , 20 , 25 , 28 , 35 , 40 , 50 , 53 , 56 , 70 , 80 , 100 , 106 , 112 , 125 , 140 , 175 , 200 , 212 , 250 , 265 , 280 , 350 , 371 , 400 , 424 , 500 , 530 , 560 , 700 , 742 , 848 , 875 , 1000 , 1060 , 1325 , 1400 , 1484 , 1750 , 1855 , 2000 , 2120 , 2650 , 2800 , 2968 , 3500 , 3710 , 4240 , 5300 , 5936 , 6625 , 7000 , 7420 , 9275 , 10600 , 13250 , 14000 , 14840 , 18550 , 21200 , 26500 , 29680 , 37100 , 46375 , 53000 , 74200 , 92750 , 106000 , 148400 , 185500 , 371000 and 742000.
What is the prime factorization of 742000 ?
The prime factorization of 742000 is 2 x 2 x 2 x 2 x 5 x 5 x 5 x 7 x 53 or 24 x 53 x 71 x 531, where 2 , 5 , 7 , 53 are the prime numbers .
What are the prime factors of 742000 ?
The prime factors of 742000 are 2 , 5 , 7 , 53 .
Is 742000 a prime number ?
A prime number is a number that has only two factors 1 and itself.
742000 it is not a prime number
because it has the factors 1 , 2 , 4 , 5 , 7 , 8 , 10 , 14 , 16 , 20 , 25 , 28 , 35 , 40 , 50 , 53 , 56 , 70 , 80 , 100 , 106 , 112 , 125 , 140 , 175 , 200 , 212 , 250 , 265 , 280 , 350 , 371 , 400 , 424 , 500 , 530 , 560 , 700 , 742 , 848 , 875 , 1000 , 1060 , 1325 , 1400 , 1484 , 1750 , 1855 , 2000 , 2120 , 2650 , 2800 , 2968 , 3500 , 3710 , 4240 , 5300 , 5936 , 6625 , 7000 , 7420 , 9275 , 10600 , 13250 , 14000 , 14840 , 18550 , 21200 , 26500 , 29680 , 37100 , 46375 , 53000 , 74200 , 92750 , 106000 , 148400 , 185500 , 371000 and 742000.