Q: What are the prime factors of the number 4,342,336?

 A: 2, 19, 3571

Why are those the prime factors of the number 4,342,336?

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 4,342,336

4,342,336
Factor Arrows
22,171,168
Factor Arrows
21,085,584
Factor Arrows
2542,792
Factor Arrows
2271,396
Factor Arrows
2135,698
Factor Arrows
267,849
Factor Arrows
193,571

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, 19, 3571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 19 x 3,571 = 4,342,336

This can also be written as 26 x 191 x 3,5711 = 4,342,336

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


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