Q: What are the prime factors of the number 156,503,328?

 A: 2, 3, 1630243

Why are those the prime factors of the number 156,503,328?

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 156,503,328

156,503,328
Factor Arrows
278,251,664
Factor Arrows
239,125,832
Factor Arrows
219,562,916
Factor Arrows
29,781,458
Factor Arrows
24,890,729
Factor Arrows
31,630,243

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, 1630243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 1,630,243 = 156,503,328

This can also be written as 25 x 31 x 1,630,2431 = 156,503,328

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


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