Q: What are the prime factors of the number 16,454,410?

 A: 2, 5, 7, 313, 751

Why are those the prime factors of the number 16,454,410?

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 16,454,410

16,454,410
Factor Arrows
28,227,205
Factor Arrows
51,645,441
Factor Arrows
7235,063
Factor Arrows
313751

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, 7, 313, 751

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 313 x 751 = 16,454,410

This can also be written as 21 x 51 x 71 x 3131 x 7511 = 16,454,410

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


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