Q: What are the prime factors of the number 141,860,820?

 A: 2, 3, 5, 41, 57667

Why are those the prime factors of the number 141,860,820?

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 141,860,820

141,860,820
Factor Arrows
270,930,410
Factor Arrows
235,465,205
Factor Arrows
311,821,735
Factor Arrows
52,364,347
Factor Arrows
4157,667

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, 41, 57667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 41 x 57,667 = 141,860,820

This can also be written as 22 x 31 x 51 x 411 x 57,6671 = 141,860,820

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


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