Q: What are the prime factors of the number 152,015,136?

 A: 2, 3, 7, 13, 17401

Why are those the prime factors of the number 152,015,136?

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 152,015,136

152,015,136
Factor Arrows
276,007,568
Factor Arrows
238,003,784
Factor Arrows
219,001,892
Factor Arrows
29,500,946
Factor Arrows
24,750,473
Factor Arrows
31,583,491
Factor Arrows
7226,213
Factor Arrows
1317,401

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, 13, 17401

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 7 x 13 x 17,401 = 152,015,136

This can also be written as 25 x 31 x 71 x 131 x 17,4011 = 152,015,136

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


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