What are all the factors, the prime factorization, and factor pairs of 494000?

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.

To calculate the factors of 494000 , you can use the division method.

   1. Begin by dividing 494000 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 494000.

   3. Continue dividing 494000 by larger numbers until you find an odd number that does not divide evenly into 494000 .

   4. The numbers that divide evenly into 494000 are the factors of 494000 .

Now let us find how to calculate all the factors of Four hundred ninety-four thousand :

    494000 ÷ 1 = 494000
    494000 ÷ 2 = 247000
    494000 ÷ 4 = 123500
    494000 ÷ 5 = 98800
    494000 ÷ 8 = 61750
    494000 ÷ 10 = 49400
    494000 ÷ 13 = 38000
    494000 ÷ 16 = 30875
    494000 ÷ 19 = 26000
    494000 ÷ 20 = 24700
    494000 ÷ 25 = 19760
    494000 ÷ 26 = 19000
    494000 ÷ 38 = 13000
    494000 ÷ 40 = 12350
    494000 ÷ 50 = 9880
    494000 ÷ 52 = 9500
    494000 ÷ 65 = 7600
    494000 ÷ 76 = 6500
    494000 ÷ 80 = 6175
    494000 ÷ 95 = 5200
    494000 ÷ 100 = 4940
    494000 ÷ 104 = 4750
    494000 ÷ 125 = 3952
    494000 ÷ 130 = 3800
    494000 ÷ 152 = 3250
    494000 ÷ 190 = 2600
    494000 ÷ 200 = 2470
    494000 ÷ 208 = 2375
    494000 ÷ 247 = 2000
    494000 ÷ 250 = 1976
    494000 ÷ 260 = 1900
    494000 ÷ 304 = 1625
    494000 ÷ 325 = 1520
    494000 ÷ 380 = 1300
    494000 ÷ 400 = 1235
    494000 ÷ 475 = 1040
    494000 ÷ 494 = 1000
    494000 ÷ 500 = 988
    494000 ÷ 520 = 950
    494000 ÷ 650 = 760
    494000 ÷ 760 = 650
    494000 ÷ 950 = 520
    494000 ÷ 988 = 500
    494000 ÷ 1000 = 494
    494000 ÷ 1040 = 475
    494000 ÷ 1235 = 400
    494000 ÷ 1300 = 380
    494000 ÷ 1520 = 325
    494000 ÷ 1625 = 304
    494000 ÷ 1900 = 260
    494000 ÷ 1976 = 250
    494000 ÷ 2000 = 247
    494000 ÷ 2375 = 208
    494000 ÷ 2470 = 200
    494000 ÷ 2600 = 190
    494000 ÷ 3250 = 152
    494000 ÷ 3800 = 130
    494000 ÷ 3952 = 125
    494000 ÷ 4750 = 104
    494000 ÷ 4940 = 100
    494000 ÷ 5200 = 95
    494000 ÷ 6175 = 80
    494000 ÷ 6500 = 76
    494000 ÷ 7600 = 65
    494000 ÷ 9500 = 52
    494000 ÷ 9880 = 50
    494000 ÷ 12350 = 40
    494000 ÷ 13000 = 38
    494000 ÷ 19000 = 26
    494000 ÷ 19760 = 25
    494000 ÷ 24700 = 20
    494000 ÷ 26000 = 19
    494000 ÷ 30875 = 16
    494000 ÷ 38000 = 13
    494000 ÷ 49400 = 10
    494000 ÷ 61750 = 8
    494000 ÷ 98800 = 5
    494000 ÷ 123500 = 4
    494000 ÷ 247000 = 2
    494000 ÷ 494000 = 1

As you can see, the factors of 494000 are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 19 , 20 , 25 , 26 , 38 , 40 , 50 , 52 , 65 , 76 , 80 , 95 , 100 , 104 , 125 , 130 , 152 , 190 , 200 , 208 , 247 , 250 , 260 , 304 , 325 , 380 , 400 , 475 , 494 , 500 , 520 , 650 , 760 , 950 , 988 , 1000 , 1040 , 1235 , 1300 , 1520 , 1625 , 1900 , 1976 , 2000 , 2375 , 2470 , 2600 , 3250 , 3800 , 3952 , 4750 , 4940 , 5200 , 6175 , 6500 , 7600 , 9500 , 9880 , 12350 , 13000 , 19000 , 19760 , 24700 , 26000 , 30875 , 38000 , 49400 , 61750 , 98800 , 123500 , 247000 and 494000 .

The factors of 494000 are the numbers that can evenly divide 494000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 19 , 20 , 25 , 26 , 38 , 40 , 50 , 52 , 65 , 76 , 80 , 95 , 100 , 104 , 125 , 130 , 152 , 190 , 200 , 208 , 247 , 250 , 260 , 304 , 325 , 380 , 400 , 475 , 494 , 500 , 520 , 650 , 760 , 950 , 988 , 1000 , 1040 , 1235 , 1300 , 1520 , 1625 , 1900 , 1976 , 2000 , 2375 , 2470 , 2600 , 3250 , 3800 , 3952 , 4750 , 4940 , 5200 , 6175 , 6500 , 7600 , 9500 , 9880 , 12350 , 13000 , 19000 , 19760 , 24700 , 26000 , 30875 , 38000 , 49400 , 61750 , 98800 , 123500 , 247000 and 494000.

Thus, there are a total of 80 factors of 494000

Factor Pairs of 494000 are combinations of two factors that when multiplied together equal 494000. There are many ways to calculate the factor pairs of 494000 .

One easy way is to list out the factors of 494000 :
   1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 19 , 20 , 25 , 26 , 38 , 40 , 50 , 52 , 65 , 76 , 80 , 95 , 100 , 104 , 125 , 130 , 152 , 190 , 200 , 208 , 247 , 250 , 260 , 304 , 325 , 380 , 400 , 475 , 494 , 500 , 520 , 650 , 760 , 950 , 988 , 1000 , 1040 , 1235 , 1300 , 1520 , 1625 , 1900 , 1976 , 2000 , 2375 , 2470 , 2600 , 3250 , 3800 , 3952 , 4750 , 4940 , 5200 , 6175 , 6500 , 7600 , 9500 , 9880 , 12350 , 13000 , 19000 , 19760 , 24700 , 26000 , 30875 , 38000 , 49400 , 61750 , 98800 , 123500 , 247000 , 494000

Then, pair up the factors:
   (1,494000),(2,247000),(4,123500),(5,98800),(8,61750),(10,49400),(13,38000),(16,30875),(19,26000),(20,24700),(25,19760),(26,19000),(38,13000),(40,12350),(50,9880),(52,9500),(65,7600),(76,6500),(80,6175),(95,5200),(100,4940),(104,4750),(125,3952),(130,3800),(152,3250),(190,2600),(200,2470),(208,2375),(247,2000),(250,1976),(260,1900),(304,1625),(325,1520),(380,1300),(400,1235),(475,1040),(494,1000),(500,988),(520,950) and (650,760) These are the factor pairs of 494000 .

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 494000 using a factor tree, we would start by writing 494000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 494000 would be 2 x 2 x 2 x 2 x 5 x 5 x 5 x 13 x 19.

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 494000 using this method, we keep dividing until it gives a non-zero remainder.

    494000 ÷ 2 = 247000
    247000 ÷ 2 = 123500
    123500 ÷ 2 = 61750
    61750 ÷ 2 = 30875
    30875 ÷ 5 = 6175
    6175 ÷ 5 = 1235
    1235 ÷ 5 = 247
    247 ÷ 13 = 19
    19 ÷ 19 = 1

So the prime factors of 494000 are 2 x 2 x 2 x 2 x 5 x 5 x 5 x 13 x 19.

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