Q: What are the prime factors of the number 142,655,000?

 A: 2, 5, 103, 277

Why are those the prime factors of the number 142,655,000?

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 142,655,000

142,655,000
Factor Arrows
271,327,500
Factor Arrows
235,663,750
Factor Arrows
217,831,875
Factor Arrows
53,566,375
Factor Arrows
5713,275
Factor Arrows
5142,655
Factor Arrows
528,531
Factor Arrows
103277

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, 103, 277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 5 x 5 x 103 x 277 = 142,655,000

This can also be written as 23 x 54 x 1031 x 2771 = 142,655,000

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


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