What are all the factors, the prime factorization, and factor pairs of 71500?

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 71500 , you can use the division method.

   1. Begin by dividing 71500 by the smallest possible number, which is 2.

   2. If the division is even, then 2 is a factor of 71500.

   3. Continue dividing 71500 by larger numbers until you find an odd number that does not divide evenly into 71500 .

   4. The numbers that divide evenly into 71500 are the factors of 71500 .

Now let us find how to calculate all the factors of Seventy-one thousand five hundred :

    71500 ÷ 1 = 71500
    71500 ÷ 2 = 35750
    71500 ÷ 4 = 17875
    71500 ÷ 5 = 14300
    71500 ÷ 10 = 7150
    71500 ÷ 11 = 6500
    71500 ÷ 13 = 5500
    71500 ÷ 20 = 3575
    71500 ÷ 22 = 3250
    71500 ÷ 25 = 2860
    71500 ÷ 26 = 2750
    71500 ÷ 44 = 1625
    71500 ÷ 50 = 1430
    71500 ÷ 52 = 1375
    71500 ÷ 55 = 1300
    71500 ÷ 65 = 1100
    71500 ÷ 100 = 715
    71500 ÷ 110 = 650
    71500 ÷ 125 = 572
    71500 ÷ 130 = 550
    71500 ÷ 143 = 500
    71500 ÷ 220 = 325
    71500 ÷ 250 = 286
    71500 ÷ 260 = 275
    71500 ÷ 275 = 260
    71500 ÷ 286 = 250
    71500 ÷ 325 = 220
    71500 ÷ 500 = 143
    71500 ÷ 550 = 130
    71500 ÷ 572 = 125
    71500 ÷ 650 = 110
    71500 ÷ 715 = 100
    71500 ÷ 1100 = 65
    71500 ÷ 1300 = 55
    71500 ÷ 1375 = 52
    71500 ÷ 1430 = 50
    71500 ÷ 1625 = 44
    71500 ÷ 2750 = 26
    71500 ÷ 2860 = 25
    71500 ÷ 3250 = 22
    71500 ÷ 3575 = 20
    71500 ÷ 5500 = 13
    71500 ÷ 6500 = 11
    71500 ÷ 7150 = 10
    71500 ÷ 14300 = 5
    71500 ÷ 17875 = 4
    71500 ÷ 35750 = 2
    71500 ÷ 71500 = 1

As you can see, the factors of 71500 are 1 , 2 , 4 , 5 , 10 , 11 , 13 , 20 , 22 , 25 , 26 , 44 , 50 , 52 , 55 , 65 , 100 , 110 , 125 , 130 , 143 , 220 , 250 , 260 , 275 , 286 , 325 , 500 , 550 , 572 , 650 , 715 , 1100 , 1300 , 1375 , 1430 , 1625 , 2750 , 2860 , 3250 , 3575 , 5500 , 6500 , 7150 , 14300 , 17875 , 35750 and 71500 .

The factors of 71500 are the numbers that can evenly divide 71500 . These numbers are 1 , 2 , 4 , 5 , 10 , 11 , 13 , 20 , 22 , 25 , 26 , 44 , 50 , 52 , 55 , 65 , 100 , 110 , 125 , 130 , 143 , 220 , 250 , 260 , 275 , 286 , 325 , 500 , 550 , 572 , 650 , 715 , 1100 , 1300 , 1375 , 1430 , 1625 , 2750 , 2860 , 3250 , 3575 , 5500 , 6500 , 7150 , 14300 , 17875 , 35750 and 71500.

Thus, there are a total of 48 factors of 71500

Factor Pairs of 71500 are combinations of two factors that when multiplied together equal 71500. There are many ways to calculate the factor pairs of 71500 .

One easy way is to list out the factors of 71500 :
   1 , 2 , 4 , 5 , 10 , 11 , 13 , 20 , 22 , 25 , 26 , 44 , 50 , 52 , 55 , 65 , 100 , 110 , 125 , 130 , 143 , 220 , 250 , 260 , 275 , 286 , 325 , 500 , 550 , 572 , 650 , 715 , 1100 , 1300 , 1375 , 1430 , 1625 , 2750 , 2860 , 3250 , 3575 , 5500 , 6500 , 7150 , 14300 , 17875 , 35750 , 71500

Then, pair up the factors:
   (1,71500),(2,35750),(4,17875),(5,14300),(10,7150),(11,6500),(13,5500),(20,3575),(22,3250),(25,2860),(26,2750),(44,1625),(50,1430),(52,1375),(55,1300),(65,1100),(100,715),(110,650),(125,572),(130,550),(143,500),(220,325),(250,286) and (260,275) These are the factor pairs of 71500 .

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 71500 using a factor tree, we would start by writing 71500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 71500 would be 2 x 2 x 5 x 5 x 5 x 11 x 13.

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 71500 using this method, we keep dividing until it gives a non-zero remainder.

    71500 ÷ 2 = 35750
    35750 ÷ 2 = 17875
    17875 ÷ 5 = 3575
    3575 ÷ 5 = 715
    715 ÷ 5 = 143
    143 ÷ 11 = 13
    13 ÷ 13 = 1

So the prime factors of 71500 are 2 x 2 x 5 x 5 x 5 x 11 x 13.

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