Q: What are the prime factors of the number 158,564,780?

 A: 2, 5, 11, 17, 42397

Why are those the prime factors of the number 158,564,780?

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 158,564,780

158,564,780
Factor Arrows
279,282,390
Factor Arrows
239,641,195
Factor Arrows
57,928,239
Factor Arrows
11720,749
Factor Arrows
1742,397

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, 11, 17, 42397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 17 x 42,397 = 158,564,780

This can also be written as 22 x 51 x 111 x 171 x 42,3971 = 158,564,780

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


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