Q: What are the prime factors of the number 162,506,140?

 A: 2, 5, 29, 280183

Why are those the prime factors of the number 162,506,140?

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 162,506,140

162,506,140
Factor Arrows
281,253,070
Factor Arrows
240,626,535
Factor Arrows
58,125,307
Factor Arrows
29280,183

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, 29, 280183

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 29 x 280,183 = 162,506,140

This can also be written as 22 x 51 x 291 x 280,1831 = 162,506,140

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


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