Q: What are the prime factors of the number 15,477,372?

 A: 2, 3, 139, 1031

Why are those the prime factors of the number 15,477,372?

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 15,477,372

15,477,372
Factor Arrows
27,738,686
Factor Arrows
23,869,343
Factor Arrows
31,289,781
Factor Arrows
3429,927
Factor Arrows
3143,309
Factor Arrows
1391,031

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, 139, 1031

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 139 x 1,031 = 15,477,372

This can also be written as 22 x 33 x 1391 x 1,0311 = 15,477,372

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


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