Q: What are the prime factors of the number 142,412,000?

 A: 2, 5, 35603

Why are those the prime factors of the number 142,412,000?

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 142,412,000

142,412,000
Factor Arrows
271,206,000
Factor Arrows
235,603,000
Factor Arrows
217,801,500
Factor Arrows
28,900,750
Factor Arrows
24,450,375
Factor Arrows
5890,075
Factor Arrows
5178,015
Factor Arrows
535,603

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, 5, 35603

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 35,603 = 142,412,000

This can also be written as 25 x 53 x 35,6031 = 142,412,000

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


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