Q: What are the prime factors of the number 24,052,140?

 A: 2, 3, 5, 7, 101

Why are those the prime factors of the number 24,052,140?

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 24,052,140

24,052,140
Factor Arrows
212,026,070
Factor Arrows
26,013,035
Factor Arrows
32,004,345
Factor Arrows
3668,115
Factor Arrows
3222,705
Factor Arrows
374,235
Factor Arrows
324,745
Factor Arrows
54,949
Factor Arrows
7707
Factor Arrows
7101

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, 5, 7, 101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 7 x 101 = 24,052,140

This can also be written as 22 x 35 x 51 x 72 x 1011 = 24,052,140

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


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