Q: What are the prime factors of the number 141,340,430?

 A: 2, 5, 7, 11, 19, 9661

Why are those the prime factors of the number 141,340,430?

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 141,340,430

141,340,430
Factor Arrows
270,670,215
Factor Arrows
514,134,043
Factor Arrows
72,019,149
Factor Arrows
11183,559
Factor Arrows
199,661

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, 7, 11, 19, 9661

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 11 x 19 x 9,661 = 141,340,430

This can also be written as 21 x 51 x 71 x 111 x 191 x 9,6611 = 141,340,430

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


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