**Asked by:**Caleb Reinger

**Updated:**7 August 2021 08:11:00 PM

# What is the prime factorization of 10000?

The orange divisor(s) above are the prime factors of the number 10,000. If we put all of it together we have the factors 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 = 10,000. It can also be written in exponential form as 24 x 54.

## In this regard, what is the prime factorization of 10000 using exponents?

The prime factorization of 10000 = 2^{4}•5^{4}.## Furthermore, what are the factors of 10000?

Factors of 10000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000.## In the same manner how do you do prime factorization?

Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.## Do you have your own answer or clarification?

### Related questions and answers

#### What is the least common multiple of 12 and 16?

The LCM of 12 and 16 is 48.

#### What is the LCM of 180 and 360?

The LCM of 180 and 360 is 360.

#### What is the HCF of 12 and 24?

Answer: HCF of 12 and 24 is 12.

#### What is the GCF of 12 and 36?

We found the factors and prime factorization of 12 and 36. The biggest common factor number is the GCF number. So the greatest common factor 12 and 36 is 12.

#### What is the LCM of 5 and 7?

Answer: LCM of 5 and 7 is 35.

#### What is the HCF of 12 and 15?

HCF Example

1 and 3 are the only common factors (numbers which are factors of both 12 and 15). Therefore, the highest common factor of 12 and 15 is 3.

1 and 3 are the only common factors (numbers which are factors of both 12 and 15). Therefore, the highest common factor of 12 and 15 is 3.

#### What is the HCF of 12 21 and 15?

Answer: HCF of 12,15 and 21 is 3.

#### What is the LCM of 10000?

Least Common Multiple of 10000 and 10004

Free LCM Calculator determines the least common multiple (LCM) between 10000 and 10004 the smallest integer that is 25010000 that is divisible by both numbers. Least Common Multiple (LCM) of 10000 and 10004 is 25010000.

Free LCM Calculator determines the least common multiple (LCM) between 10000 and 10004 the smallest integer that is 25010000 that is divisible by both numbers. Least Common Multiple (LCM) of 10000 and 10004 is 25010000.

#### What is the HCF of 10000?

We found the factors and prime factorization of 10000 and 10014. The biggest common factor number is the GCF number. So the greatest common factor 10000 and 10014 is 2.

#### What are 5 common multiples of 3 and 7?

The common multiples of 3 and 7 are 21,42, and 63.

#### What is the LCM of 12 15 and 21?

Answer: LCM of 12, 15, and 21 is 420.

#### What is the LCM of 5 7 and 9?

Answer: LCM of 5, 7, and 9 is 315.

#### What is the LCM of the same number?

The Least Common Multiple ( LCM ) is also referred to as the Lowest Common Multiple ( LCM ) and Least Common Divisor ( LCD) . For two integers a and b, denoted LCM(a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b. For example, LCM(2,3) = 6 and LCM(6,10) = 30.

#### What is the LCM of 3 and 5 and 7?

Answer: LCM of 3, 5, and 7 is 105.

#### What is the LCM of 10000 and 60?

lcm (10,000; 60) = 30,000: least common multiple, calculated. The numbers have common prime factors.

#### What is the HCF of 16 and 24?

Thus, the HCF of 16 and 24 is 8.

#### What is the LCM of 0.4 and 7?

LCM of decimals calculator gives the LCM of Decimal numbers given 0.7, 0.4, 0.8 i.e. 5.6 the smallest number that divides all of them exactly. Least Common Multiple (LCM) of 0.7, 0.4, 0.8 is 5.6.

Least Common Multiple (LCM) of 7,4,8 By Common Division.

Least Common Multiple (LCM) of 7,4,8 By Common Division.

2 | 7, 4, 8 |
---|---|

2 | 7, 2, 4 |

7, 1, 2 |

#### What is the LCM of 5/8 and 3?

Least Common Multiple of 8, 3, 5

Least common multiple (LCM) of 8, 3, 5 is 120.

Least common multiple (LCM) of 8, 3, 5 is 120.

#### What is the LCM of 5/6 and 3?

Answer: LCM of 3,5 and 6 is 30.

#### What is the LCM of 5/6 and 9?

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 5, 6, 9 i.e. 90 smallest integer divisible by all numbers. Least common multiple (LCM) of 5, 6, 9 is 90.

#### What is the HCF of 12?

Factors of 12 = 1, 2, 3, 4, 6 and 12. Factors of 18 = 1, 2, 3, 6, 9 and 18. Therefore, common factor of 12 and 18 = 1, 2, 3 and 6. Highest common factor (H.C.F) of 12 and 18 = 6 [since 6 is the highest common factor].

#### What is the LCM of 3 and 7?

What is the Least Common Multiple of 3 and 7? Least common multiple (LCM) of 3 and 7 is 21.

#### What is the least common multiple of 1 9 and 5 12?

The least common denominator for 5/12 and 1/9 would be 36. If you do the multiples for 12 and 9, as you can see the first multiple that's the same is 36.

#### What is the HCF of 12 and 14?

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12 and 14. The biggest common factor number is the GCF number. So the greatest common factor 12 and 14 is 2.

We found the factors and prime factorization of 12 and 14. The biggest common factor number is the GCF number. So the greatest common factor 12 and 14 is 2.