Q: What are the prime factors of the number 451,110,340?

 A: 2, 5, 1747, 12911

Why are those the prime factors of the number 451,110,340?

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 451,110,340

451,110,340
Factor Arrows
2225,555,170
Factor Arrows
2112,777,585
Factor Arrows
522,555,517
Factor Arrows
1,74712,911

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, 1747, 12911

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 1,747 x 12,911 = 451,110,340

This can also be written as 22 x 51 x 1,7471 x 12,9111 = 451,110,340

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


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