What are the factors and prime factors of 100 000?

Answer 1

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, 100000

2 and 5 are prime.

Answer 2

First of all, let's define two words in your question: "factorization" and "prime," as well as the term "factor."

[At the bottom of this answer, you will find a link to three of many online videos with instructions to finding factors, prime numbers, and prime factorization, but let's first break down these steps.]

A "factor" is a number which, when multiplied by another number, will come up with the number in question; in this case, 100,000. Therefore the factors of 100,000 are:

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 3125, 4000, 5000, 6250, 10000, 12500, 20000, 25000, 50000, and 100000.

Factor pairs are the two numbers which you will need to multiply together to reach a given number.

Factor pairs are the two specific numbers you need to multiply together to get your chosen number; therefore, the factor pairs of 100,000 are:

1 x 100,000, 2 x 50,000, 4 x 25,000, 5 x 20,000, 8 x 12,500, 10 x 10,000, 16 x 6250, 20 x 5000, 25 x 4000, 32 x 3125, 40 x 2500, 50 x 2000, 80 x 1250, 100 x 1000, 125 x 800, 160 x 625, 200 x 500, and 250 x 400.

Prime numbers are numbers which cannot be divided by any other number, except 1 and the number itself. Therefore, the prime factors of 100,000 are: 2 and 5. [Some will argue that 1 is not a Prime number. See an interesting explanation in one of the video links.]

Prime factorization is breaking down a number to its smallest possible integers, sort of like breaking down an atom to it's molecules, and then expressing them in an equation so that when you multiply them together you achieve your given number. Therefore the prime factorization of 100,000 is:

2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 [Note that 1 is not included in the factorization, because there are an infinite number of 1's you could possible add to this equation.]

Ultimately, you will want to write your answer in exponential form. Therefore, the prime factorization of 100,000 is: 25 x 55.

Answer 3

1000000000 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 = 29 * 59

Answer 4

2 and 5

27 x 57 = 10,000,000

Answer 5

27 x 57 = 100,000,000