Q: What are the prime factors of the number 541,867,452?

 A: 2, 3, 7, 17, 379459

Why are those the prime factors of the number 541,867,452?

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 541,867,452

541,867,452
Factor Arrows
2270,933,726
Factor Arrows
2135,466,863
Factor Arrows
345,155,621
Factor Arrows
76,450,803
Factor Arrows
17379,459

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, 7, 17, 379459

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 17 x 379,459 = 541,867,452

This can also be written as 22 x 31 x 71 x 171 x 379,4591 = 541,867,452

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


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