Q: What are the prime factors of the number 858,240?

 A: 2, 3, 5, 149

Why are those the prime factors of the number 858,240?

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 858,240

858,240
Factor Arrows
2429,120
Factor Arrows
2214,560
Factor Arrows
2107,280
Factor Arrows
253,640
Factor Arrows
226,820
Factor Arrows
213,410
Factor Arrows
26,705
Factor Arrows
32,235
Factor Arrows
3745
Factor Arrows
5149

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, 3, 5, 149

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 2 x 3 x 3 x 5 x 149 = 858,240

This can also be written as 27 x 32 x 51 x 1491 = 858,240

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


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