Q: What are the prime factors of the number 153,151,404?

 A: 2, 3, 7, 1823231

Why are those the prime factors of the number 153,151,404?

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 153,151,404

153,151,404
Factor Arrows
276,575,702
Factor Arrows
238,287,851
Factor Arrows
312,762,617
Factor Arrows
71,823,231

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, 1823231

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 1,823,231 = 153,151,404

This can also be written as 22 x 31 x 71 x 1,823,2311 = 153,151,404

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


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