Q: What are the prime factors of the number 16,401,378?

 A: 2, 3, 7, 55787

Why are those the prime factors of the number 16,401,378?

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 16,401,378

16,401,378
Factor Arrows
28,200,689
Factor Arrows
32,733,563
Factor Arrows
7390,509
Factor Arrows
755,787

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, 55787

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 55,787 = 16,401,378

This can also be written as 21 x 31 x 72 x 55,7871 = 16,401,378

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


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