Q: What are the prime factors of the number 424,343,000?

 A: 2, 5, 424343

Why are those the prime factors of the number 424,343,000?

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 424,343,000

424,343,000
Factor Arrows
2212,171,500
Factor Arrows
2106,085,750
Factor Arrows
253,042,875
Factor Arrows
510,608,575
Factor Arrows
52,121,715
Factor Arrows
5424,343

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, 424343

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 5 x 424,343 = 424,343,000

This can also be written as 23 x 53 x 424,3431 = 424,343,000

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


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