Q: What are the prime factors of the number 101,422,134?

 A: 2, 3, 11, 23, 22271

Why are those the prime factors of the number 101,422,134?

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 101,422,134

101,422,134
Factor Arrows
250,711,067
Factor Arrows
316,903,689
Factor Arrows
35,634,563
Factor Arrows
11512,233
Factor Arrows
2322,271

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, 11, 23, 22271

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 23 x 22,271 = 101,422,134

This can also be written as 21 x 32 x 111 x 231 x 22,2711 = 101,422,134

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


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