Q: What are the prime factors of the number 154,565,136?

 A: 2, 3, 11, 97579

Why are those the prime factors of the number 154,565,136?

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 154,565,136

154,565,136
Factor Arrows
277,282,568
Factor Arrows
238,641,284
Factor Arrows
219,320,642
Factor Arrows
29,660,321
Factor Arrows
33,220,107
Factor Arrows
31,073,369
Factor Arrows
1197,579

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, 97579

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 11 x 97,579 = 154,565,136

This can also be written as 24 x 32 x 111 x 97,5791 = 154,565,136

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


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