Q: What are the prime factors of the number 340,332,530?

 A: 2, 5, 43, 67, 11813

Why are those the prime factors of the number 340,332,530?

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 340,332,530

340,332,530
Factor Arrows
2170,166,265
Factor Arrows
534,033,253
Factor Arrows
43791,471
Factor Arrows
6711,813

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:

2, 5, 43, 67, 11813

We can check our work by multiplying all of the prime factors together: 2 x 5 x 43 x 67 x 11,813 = 340,332,530

This can also be written as 21 x 51 x 431 x 671 x 11,8131 = 340,332,530

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


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