Q: What are the prime factors of the number 172,762,155?

 A: 3, 5, 19, 202061

Why are those the prime factors of the number 172,762,155?

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 172,762,155

172,762,155
Factor Arrows
357,587,385
Factor Arrows
319,195,795
Factor Arrows
53,839,159
Factor Arrows
19202,061

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:

3, 5, 19, 202061

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 19 x 202,061 = 172,762,155

This can also be written as 32 x 51 x 191 x 202,0611 = 172,762,155

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


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