Q: What are the prime factors of the number 13,788,162?

 A: 2, 3, 53, 97, 149

Why are those the prime factors of the number 13,788,162?

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 13,788,162

13,788,162
Factor Arrows
26,894,081
Factor Arrows
32,298,027
Factor Arrows
3766,009
Factor Arrows
5314,453
Factor Arrows
97149

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, 53, 97, 149

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 53 x 97 x 149 = 13,788,162

This can also be written as 21 x 32 x 531 x 971 x 1491 = 13,788,162

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


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