Q: What are the prime factors of the number 154,152,504?

 A: 2, 3, 11, 64879

Why are those the prime factors of the number 154,152,504?

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 154,152,504

154,152,504
Factor Arrows
277,076,252
Factor Arrows
238,538,126
Factor Arrows
219,269,063
Factor Arrows
36,423,021
Factor Arrows
32,141,007
Factor Arrows
3713,669
Factor Arrows
1164,879

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, 11, 64879

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 11 x 64,879 = 154,152,504

This can also be written as 23 x 33 x 111 x 64,8791 = 154,152,504

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


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