Q: What are the prime factors of the number 158,065,020?

 A: 2, 3, 5, 97571

Why are those the prime factors of the number 158,065,020?

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 158,065,020

158,065,020
Factor Arrows
279,032,510
Factor Arrows
239,516,255
Factor Arrows
313,172,085
Factor Arrows
34,390,695
Factor Arrows
31,463,565
Factor Arrows
3487,855
Factor Arrows
597,571

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, 5, 97571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 5 x 97,571 = 158,065,020

This can also be written as 22 x 34 x 51 x 97,5711 = 158,065,020

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


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