Q: What are the prime factors of the number 160,572,252?

 A: 2, 3, 61, 219361

Why are those the prime factors of the number 160,572,252?

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 160,572,252

160,572,252
Factor Arrows
280,286,126
Factor Arrows
240,143,063
Factor Arrows
313,381,021
Factor Arrows
61219,361

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, 61, 219361

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 61 x 219,361 = 160,572,252

This can also be written as 22 x 31 x 611 x 219,3611 = 160,572,252

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


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