Q: What are the prime factors of the number 140,120,442?

 A: 2, 3, 7, 11, 47, 239

Why are those the prime factors of the number 140,120,442?

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 140,120,442

140,120,442
Factor Arrows
270,060,221
Factor Arrows
323,353,407
Factor Arrows
37,784,469
Factor Arrows
32,594,823
Factor Arrows
3864,941
Factor Arrows
7123,563
Factor Arrows
1111,233
Factor Arrows
47239

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, 7, 11, 47, 239

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 7 x 11 x 47 x 239 = 140,120,442

This can also be written as 21 x 34 x 71 x 111 x 471 x 2391 = 140,120,442

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


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