Q: What are the prime factors of the number 7,642,544?

 A: 2, 7, 13, 29, 181

Why are those the prime factors of the number 7,642,544?

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 7,642,544

7,642,544
Factor Arrows
23,821,272
Factor Arrows
21,910,636
Factor Arrows
2955,318
Factor Arrows
2477,659
Factor Arrows
768,237
Factor Arrows
135,249
Factor Arrows
29181

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, 7, 13, 29, 181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 13 x 29 x 181 = 7,642,544

This can also be written as 24 x 71 x 131 x 291 x 1811 = 7,642,544

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


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