Q: What are the prime factors of the number 142,121,024?

 A: 2, 199, 11159

Why are those the prime factors of the number 142,121,024?

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 142,121,024

142,121,024
Factor Arrows
271,060,512
Factor Arrows
235,530,256
Factor Arrows
217,765,128
Factor Arrows
28,882,564
Factor Arrows
24,441,282
Factor Arrows
22,220,641
Factor Arrows
19911,159

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, 199, 11159

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 199 x 11,159 = 142,121,024

This can also be written as 26 x 1991 x 11,1591 = 142,121,024

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


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