Q: What are the prime factors of the number 5,420,454?

 A: 2, 3, 13, 69493

Why are those the prime factors of the number 5,420,454?

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 5,420,454

5,420,454
Factor Arrows
22,710,227
Factor Arrows
3903,409
Factor Arrows
1369,493

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, 13, 69493

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 69,493 = 5,420,454

This can also be written as 21 x 31 x 131 x 69,4931 = 5,420,454

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


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