Q: What are the prime factors of the number 121,001,274?

 A: 2, 3, 17, 395429

Why are those the prime factors of the number 121,001,274?

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 121,001,274

121,001,274
Factor Arrows
260,500,637
Factor Arrows
320,166,879
Factor Arrows
36,722,293
Factor Arrows
17395,429

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, 17, 395429

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 17 x 395,429 = 121,001,274

This can also be written as 21 x 32 x 171 x 395,4291 = 121,001,274

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


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