Q: What are the prime factors of the number 534,132,040?

 A: 2, 5, 13, 67, 15331

Why are those the prime factors of the number 534,132,040?

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 534,132,040

534,132,040
Factor Arrows
2267,066,020
Factor Arrows
2133,533,010
Factor Arrows
266,766,505
Factor Arrows
513,353,301
Factor Arrows
131,027,177
Factor Arrows
6715,331

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, 13, 67, 15331

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 13 x 67 x 15,331 = 534,132,040

This can also be written as 23 x 51 x 131 x 671 x 15,3311 = 534,132,040

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


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