Q: What are the prime factors of the number 143,001,120?

 A: 2, 3, 5, 23, 12953

Why are those the prime factors of the number 143,001,120?

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 143,001,120

143,001,120
Factor Arrows
271,500,560
Factor Arrows
235,750,280
Factor Arrows
217,875,140
Factor Arrows
28,937,570
Factor Arrows
24,468,785
Factor Arrows
31,489,595
Factor Arrows
5297,919
Factor Arrows
2312,953

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, 5, 23, 12953

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 5 x 23 x 12,953 = 143,001,120

This can also be written as 25 x 31 x 51 x 231 x 12,9531 = 143,001,120

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


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