Q: What are the prime factors of the number 534,132,046?

 A: 2, 7, 31, 109, 1613

Why are those the prime factors of the number 534,132,046?

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 534,132,046

534,132,046
Factor Arrows
2267,066,023
Factor Arrows
738,152,289
Factor Arrows
75,450,327
Factor Arrows
31175,817
Factor Arrows
1091,613

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, 7, 31, 109, 1613

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 31 x 109 x 1,613 = 534,132,046

This can also be written as 21 x 72 x 311 x 1091 x 1,6131 = 534,132,046

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


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