Q: What are the prime factors of the number 356,400,249?

 A: 3, 23, 41, 53, 2377

Why are those the prime factors of the number 356,400,249?

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 356,400,249

356,400,249
Factor Arrows
3118,800,083
Factor Arrows
235,165,221
Factor Arrows
41125,981
Factor Arrows
532,377

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, 23, 41, 53, 2377

We can check our work by multiplying all of the prime factors together: 3 x 23 x 41 x 53 x 2,377 = 356,400,249

This can also be written as 31 x 231 x 411 x 531 x 2,3771 = 356,400,249

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


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