Q: What are the prime factors of the number 542,464?

 A: 2, 13, 163

Why are those the prime factors of the number 542,464?

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 542,464

542,464
Factor Arrows
2271,232
Factor Arrows
2135,616
Factor Arrows
267,808
Factor Arrows
233,904
Factor Arrows
216,952
Factor Arrows
28,476
Factor Arrows
24,238
Factor Arrows
22,119
Factor Arrows
13163

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, 13, 163

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 2 x 13 x 163 = 542,464

This can also be written as 28 x 131 x 1631 = 542,464

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


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