Q: What are the prime factors of the number 121,343,030?

 A: 2, 5, 61, 67, 2969

Why are those the prime factors of the number 121,343,030?

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 121,343,030

121,343,030
Factor Arrows
260,671,515
Factor Arrows
512,134,303
Factor Arrows
61198,923
Factor Arrows
672,969

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, 5, 61, 67, 2969

We can check our work by multiplying all of the prime factors together: 2 x 5 x 61 x 67 x 2,969 = 121,343,030

This can also be written as 21 x 51 x 611 x 671 x 2,9691 = 121,343,030

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


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