Q: What are the prime factors of the number 158,621,512?

 A: 2, 7, 2832527

Why are those the prime factors of the number 158,621,512?

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 158,621,512

158,621,512
Factor Arrows
279,310,756
Factor Arrows
239,655,378
Factor Arrows
219,827,689
Factor Arrows
72,832,527

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, 7, 2832527

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 2,832,527 = 158,621,512

This can also be written as 23 x 71 x 2,832,5271 = 158,621,512

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


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