Q: What are the prime factors of the number 154,406,252?

 A: 2, 7, 11, 13, 787

Why are those the prime factors of the number 154,406,252?

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 154,406,252

154,406,252
Factor Arrows
277,203,126
Factor Arrows
238,601,563
Factor Arrows
75,514,509
Factor Arrows
7787,787
Factor Arrows
7112,541
Factor Arrows
1110,231
Factor Arrows
13787

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, 7, 11, 13, 787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 7 x 11 x 13 x 787 = 154,406,252

This can also be written as 22 x 73 x 111 x 131 x 7871 = 154,406,252

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


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