Q: What are the prime factors of the number 25,462,035?

 A: 3, 5, 23, 73, 337

Why are those the prime factors of the number 25,462,035?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 25,462,035

25,462,035
Factor Arrows
38,487,345
Factor Arrows
32,829,115
Factor Arrows
5565,823
Factor Arrows
2324,601
Factor Arrows
73337

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 5, 23, 73, 337

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 23 x 73 x 337 = 25,462,035

This can also be written as 32 x 51 x 231 x 731 x 3371 = 25,462,035

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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